The angles of elevation theta and alpha to an airplane from the airport control tower and from an observation post 2 miles away are being continuously monitored. If theta is 42 degrees when alpha is 81 degrees, how far is

14,105 questions

The angles of elevation theta and alpha to an airplane from the airport control tower and from an observation post 2 miles away are being continuously monitored. If theta is 42 degrees when alpha is 81 degrees, how far is the plane from the observation

asked by l on May 26, 2014
2. Physics

An airplane flies clockwise around an airport control tower at a speed of 190 m/s. If that control tower is 8 km from the airplane at all times, what is the plane’s angular velocity (magnitude and direction)?

asked by M on October 6, 2014
3. math

From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the airplane is 170 m from the base of the tower, find the angle of depression of the airplane from the top of the control tower.

asked by Daniela on February 20, 2017
4. Math

An airplane is flying 100 km north and 185 km west of an airport. It is flying at a height of 7 km A) what is the straight long distance to the airport? B) what is the angle of elevation of the airplane, from the point of view of the airport?

asked by Sydney on June 15, 2016
5. Math 11

An airplane is flying 100 km north and 185 km west of an airport. it is flying at a height of 7 km. A) what is the straight-line distace to the airport? B) what is the angle of elevation of the airplane, from the point of view of the airport?

asked by Priya on October 20, 2014
6. geometry

an airplane is flying 75km south and 35 km west of an airport. It is flying at a heigh of 6 km A)what is the straight-line distance to the airport? B)What is the angle of elevation of the airplane, from the point of of view of the airport?

asked by airplanes on March 2, 2012
7. maths --plse help me..

The angle of elevation of the top of a tower as observed from a point on the ground is alpha and on moving a meters towards the tower, the angle of elevation is beta .prove that the height of the tower is a (tan alpha*tan beta)/(tan beta - tan alpha)

asked by Meenakshi on December 13, 2012
8. Math

At an airport, a flight controller is in a tower 45m above the ground. She observes an airplane flying at a constant altitude at an angle of elevation of 14 degrees from her line of sight. Seven seconds later, the airplane flies directly overhead. If the

asked by BJ on May 31, 2012
9. trig

express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) ----> Rcos(alpha) = 20 Rsin(alpha) = 4 The x-y coordinates of a point on a circle of radius R that makes an angle og alpha with

asked by paul c on November 24, 2006
10. trig

please am stucked help me.in the diagram below.A,B and C are three points in the same horizontal plane and DC is a vertical tower.AC=AB=x and D^C=DB.the angle of elevation of D from C is alpha and DB^C=theta

asked by utlwanang on May 26, 2013
11. geometry

from an airplane flying 7000 feet above the ground the angle of depression to the base of the control tower is 19 degrees. find the distance from a point on the ground directly beneath the airplane to the control tower.

asked by Anonymous on June 3, 2010
12. Trigonometry

An airplane approaches an airport. At a certain time, it is 939 m high. Its angle of elevation measured from the airport is 19.5◦. To the nearest metre, how far is the plane from the airport?

asked by Anonymous on November 8, 2014
13. Maths

Theta is acute and alpha is obtuse . It is known that sin theta=2/5 and cosec alpha =2. Compute the exact values of a) sec theta b) cos alpha c) tan( theta + alpha)

asked by Kelly on April 23, 2019
14. trig

in the diagram below.A,B and C are three points in the same horizontal plane and AD is a vertical tower.AC=AB=x and DC=DB.the angle of elevetion of D from C is alpha and DB^C=theta 1.express DC in terms of x trigonometry value of alpha 2.prove that

asked by maker on May 26, 2013
15. PreCalc

stacey is standing 5 miles west of the control tower at an airport. A plane took off traveling directly north of the control tower at a rate of 180 mph along the ground at a constant angle of 15 degrees. A)after 12 minutes, what is the angel between Stacey

16. math

An airport passes over an airport and continues flying on a heading of N 70¡ãW for 3 km. The airplane then turns left and flies another 2 km until the airport is exactly due east of its position. What is the distance between the airplane and the airport,

asked by Louise on November 3, 2014
17. math

An observer of height h stands on an incline at a distance d from the base of a building of height T. the angle of elevation from the observer to the top of the building is theta and the incline makes an angle of alpha witht he horizontal. Express T, in

asked by Annmarie on October 15, 2012
18. trigonometry

the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of elevation to their tops

asked by jack on June 17, 2017
19. Math Trignometry

. From the top of the 800-foot-tall Cartalk Tower, Tom sees a plane; the angle of elevation is 67°. At the same instant, Ray, who is on the ground 1 mile from the building, notes that his angle of elevation to the plane is 81° and that his angle of

asked by Mandy on May 19, 2016
20. inverse trig function

How do I do this by sketching a triangle. sin( arcsin(1/2) + arccos(1/2) ) Thanks. let's start with arcsin(1/2) draw a right angled triangle where theta and alpha are the two angles other than the 90º angle. suppose you make the opposite side 1, and the

asked by Jen on April 9, 2007
21. math

the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart?

asked by lawal Idris on November 24, 2015
22. math

the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart?

asked by Anonymous on November 24, 2015
23. calculus 1

I just need help getting started. I can't figure out the equation I need to use! An airplane passes over an airport at noon traveling 500 mi/hr due West. At 1:00 pm, another airplane passes over the same airport at the same elevation traveling due North at

asked by cindy on July 10, 2011
24. Trigonometry

A 30foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. From a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower are found to be 36 and 30

asked by Anonymous on August 31, 2014
25. Trigonometry

An airplane is sighted at the same time by two ground observers who are 2 miles apart and both directly west of the airplane. They report the angles of elevation as 11˚ and 20˚. How high is the airplane? Round to the nearest hundredth of a mile.

asked by Remy on August 5, 2015
26. trig

a tower standing on level ground is due north of piont N and due west of point W, a distance 1,500 feet from N. If the angles of elevation of the top of the tower as measured from N and W are 8 and 11, respectively, find the height of the tower.

asked by courtney on October 9, 2011
27. plane and trigonometry

a 30 foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. from a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower is 30 degree repectively.

asked by rhen songalia on July 16, 2013
28. Math

Two airplanes at 25,000 ft above the ground are flying toward the same airport.Airplane A is flying due south towards the airport at 200 miles per hour.At 10:00 AM Airplane A is 700 miles from the airport,and Airplane B is 925 miles from the airport.How

asked by Bob on August 14, 2012
29. Maths: Partial Differentiation

1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x. 2) If z = sin theta.sin phi.sin gamma, and z is calculated for the values theta = 30degrees, phi = 45 degrees and gamma = 60degrees,

asked by Claire on January 9, 2010
30. trigonometry

Mickey determines that the angle of elevation from his position to the top of the tower is 52°. He measures the angle of elevation again from a point 47 meters farther from the tower and finds to be 31°. Both positions are due East of the tower. Find the

asked by maniru on January 11, 2015
31. calculus 1

I found the equation which was the pythagoras theorem and then took the derivative of the equation but not sure what to plug in where. Oh and I found C(t) to be 743.30 An airplane passes over an airport at noon traveling 500 mi/hr due West. At 1:00 pm,

asked by cindy on July 10, 2011
32. math

Two boys are on opposite sides of a tower.They sight the top of the tower at 33 degree's and 24 degree angles of elevation respectively.If the height of the tower is 100 m, find the distance between the two boys.

asked by Aaminah on May 9, 2009
33. calculus

An airplane flying west at 300 miles per hour goes over the control tower at noon, and a second airplane at the same altitude, flying north at 400 miles per hour, goes over the tower an hour later. How fast is the distance between the airplanes changing at

asked by becca on January 17, 2012
34. math

the elevation of a tower from a point on the ground is 30 at a point on the horizontal line passing through the foot of the tower and 100 metres nearer it, the angle of elevation is 60 find height of the tower and the distance of the first point from the

asked by sonia on September 6, 2015
35. Can't understand trig problem

An airplane left an airport and flew east 174 miles. Then it turned northward flying along a bearing of N22E. When it was 254 miles from the airport, there was an engine problem and it turned back to take the shortest route possible back to the airport.

asked by joel on February 1, 2010
36. Math

If an observer stands at a certain point in the same horizontal plane as the base of a radio tower. the angle of elevation of the top of the tower is 13deg 15'. If the observer moves 156.25 feet towards the tower, the angle of elevation is 18deg 10'. Find

asked by McKenna Louise on February 17, 2014
37. Trigonometry damon plz help

If the angle of a h meters long tower is in a straight line between two observers A and B angle of elevation of the top of the tower from A and B are alpha and beta respectively and AB=D meters find h/d

asked by Edward on September 18, 2015
38. Algebra II

An airplane leaves airport A and flies 200 km. At this time its bearing from Airport B, 250 km to the west, is 120 degrees. How far is the airplane from B?

asked by Lyndsie on May 17, 2010
39. Algebra II

An airplane leaves airport A and flies 200 km. At this time its bearing from Airport B, 250 km to the west, is 120 degrees. How far is the airplane from B?

asked by Alexa on May 17, 2010
40. Trigonometry

AN AIRPLANE IS FLYING AT A HEIGHT OF 1000 m. THE ANGLE OF DEPRESSION OF AIRPORT A FROM THE PLANE IS 15°. CALCULATE THE HORIZONTAL DISTANCE BETWEEN THE AIRPLANE AND THE AIRPORT.

asked by Anonymous on June 16, 2016
41. Math

a tower stands on the top of a cliff. at a distance of 55m from the foot of the cliff, the angles of elevation of the top of the tower as well the cliff are 60° and 45° respectively. find the height of the tower.

asked by Moosa on August 11, 2015
42. math

PQ is a tower standing vertically on the horizontal ground. from A, the angle of elevation of top P of the tower is 45°. On moving 50 m. up a slope of 15°, the angle of elevation of P is found to be 75° from B. The horizobtal through B is BC. find

asked by tawheed on February 25, 2017
43. math

pq is a tower standing vertically on the horizontal ground. from a, the angle of elevation of top p of the tower is 45°. on moving 50 m. up a slope of 15°, the angle of elevation becomes 75° from b. find height of the tower

asked by Anonymous on February 25, 2017
44. trigo

to calculate the height of the tower david measured the angle of elevation of the top of the tower from point A to B 42degrees. He moved then 30meter closer to the tower and from the point B the angle of elevation to the top of the tower to be 50degree.

asked by love on January 12, 2016
45. Calculus

The CN Tower is 553 m tall. A person is south of the tower, in a boat on Lake Ontario at a position that makes an angle of elevation of 100 degrees to the top of the tower. A second person is sitting on a park bench, on a bearing of 060 degrees relative to

asked by Anonymous on May 23, 2010
46. Trig

From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. Approximate the

asked by Bob on June 26, 2012
47. Security

What portion of the airport is designed and used for landing, take off, or surface maneuvering of aircraft? A. Control tower B. Air operations area C. Control functions area D. Exclusive area im confused between A and C

asked by Amy on May 25, 2016
48. Math

1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer determines that the angle

asked by Tsunayoshi on February 6, 2014
49. trig is killing me...

the angles of elevation of a tower at two places due west of it are 63 degrees and 56 degrees. given that the foot of the tower and the two points are on ground level and the distance between the two points is 20 meters, find the height of the tower. You

asked by holly on December 7, 2006
50. Trigonometry

Round answer to two significant digits. An airplane flew 300 miles at a bearing of N65°E from airport A to airport B. The plane then flew at a bearing of S38°E to airport C. Find the distance from A to C if the bearing from airport A to airport C is

asked by Karen on October 22, 2014
51. trigo

how do i do this question? a tower stands on top of a cliff. at a distance of 55m from the foot of the cliff, the angles of elevation of the top of the tower as well as the cliff are 60degrees and 45degrees respectively. what is the height of the tower?

asked by holly on March 12, 2007
52. algebra

an airplane is flying at an altitude of 3200 feet. an air- traffic controller in the tower keeps constant track of the planes distance from the tower in X feet. express the horizontal distance from the tower to a point directly below the airplane,d, in

asked by amber on September 5, 2012
53. Trigonometry

An airplane is 48 miles due north of a town. An airport is 29 miles North-West of the town. It is determined that the airplane is 34 miles from the airport. On what bearing should the pilot fly to get to the airport? Please show work if possibly, I'm

asked by Serena on November 6, 2016
54. Trigonometry

An airplane flew 300 miles at a bearing of N65°E from airport A to airport B. The plane then flew at a bearing of S38°E to airport C. Find the distance from A to C if the bearing from airport A to airport C is S60°E.

asked by Karen on November 6, 2014
55. Trig

The angle of elevation from a point on the ground to the top of a tower is 37deg5'. The angle of elevation from a point 120 feet farther back from the tower is 29deg5'. Find the height of the tower (to the nearest foot).

asked by john on June 10, 2013
56. Math

to measure the height of the Eiffel Tower in Paris, a person stands away from the base and measures the angle of elevation to the top of the tower to be 60 degrees. Moving 210 feet closer, the angle of elevation to the top of the tower is 70 degrees. How

asked by Donielle on February 14, 2012
57. Pre Calc.

Use the sum or difference identity to find the exact value of sin255 degrees. My answer: (-sqrt(2)- sqrt(6)) / (4) Find the value of tan (alpha-beta), if cos alpha= -3/5, sin beta= 5/13, 90

asked by Patrick on April 22, 2009
58. math

A radio tower stands on the top of a hill that is 85 feet high. From the bottom of the hill, the elevation angle to the base of the tower is 42 degrees and the elevation angle to the top of the tower is 60 degrees. How tall is the tower? I would like to

asked by Victoria on May 6, 2012
59. trigonometry

An airplane flying at an altitude of 5100 ft is 12000 feet from an airport. what is the angle of elevation of the plane? I don't know how to start the problem.

asked by Les on September 21, 2014
60. Applied Geometry maths

A Maths Applied student holidaying in Sydney notices that the Centrepoint tower has an angle of elevation of 15deg20'. After walking 400m directly towards the tower she now observes the elevation to be 24deg33'

asked by Mandy on June 19, 2013
61. Math

A boy observes that the angle of elevation of the top of a tower is 32 degrees.He then walks 8m towards the tower and then discovers that the angle of elevation is 43 degrees.Find the height of the tower.

asked by Pelumi on August 6, 2016
62. Find Airplane Bearing

A plane leave a certain airport from runway 4 RIGHT, whose bearing is N40degreesE. After flying for 1/2 mile, the pilot requestd permission to trun 90 degrees and head toward the southeast. The permission is granted. After the airplane goes 1 mile in this

asked by John on February 22, 2008
63. pre calculus

A airplane is 145 miles North and 85 miles west of an airport. What is the compass direction from the airport to the airplane?

asked by Karen on December 10, 2012
64. physics

the angle of elevation to the tower is 30 degree and then moved towards the tower of a distance 20m.now thw angle of elevation is 60 degree.What is the height of the tower??plz help me:)

65. physics

1) The angle of elevation to the bottom of a transmission tower on a hill from an observer standing 1.8 km away from the base of the hill is 5 degrees. The angle of elevation to the top of the tower from the tower is 6.8 degrees. If the distance from the

asked by Anonymous on September 29, 2014
66. Physics

A jet is circling an airport control tower at a distance of 23.0 km. An observer in the tower watches the jet cross in front of the moon. As seen from the tower, the moon subtends an angle of 9.49 10-3 radians. Find the distance traveled (in meters) by the

asked by Lindsay on October 22, 2012
67. Math

On top of the sears building is a tv tower. From a point 300 ft away the bottom of the tower is at an angle of elevation equal to 42.14 degrees and the top of the tower is at an angle of elevation equal to 45.81 degrees. How tall is the tower.

asked by Matt on May 19, 2010
68. Math

On top of the sears building is a tv tower. From a point 300 ft away the bottom of the tower is at an angle of elevation equal to 42.14 degrees and the top of the tower is at an angle of elevation equal to 45.81 degrees. How tall is the tower.

asked by Matt on May 19, 2010
69. Geom./Trig.

an airplane flies directly overhead at 540mph. 1 minute later is seen at an angle of elevation of 34 degrees. how far did the airplane fly during that time? what is the elevation of the plane?

asked by Emma on March 28, 2012
70. Trigonometry

a boy standing 70m away from a flag–post observes that the angles of elevation of the top and bottom of the tower on top the flag–post are 70^ and 69^ respectively. Find the height of the tower

asked by Daniel on October 23, 2017
71. algebra

a landing airplane, moving in a straight line , passes over two points (p and q) which are 300 feet apart. when the airplane is above p, as seen from Q, its angle of elevation is 60 degress, and when above Q, as seen from p, its angle of elevation is 40

asked by alex on July 19, 2011

An engineer sees that the angle of elevation to a vertical tower is 45 degrees. When he moves 40 feet closer to the tower on the same straight, level path, he sees that the angle of elevation becomes 55 degrees. How tall is the tower?

asked by math on May 30, 2015
73. math

An engineer sees that the angle of elevation to a vertical tower is 45 degrees. When he moves 40 feet closer to the tower on the same straight, level path, he sees that the angle of elevation becomes 55 degrees. How tall is the tower?

74. MATH

FIND THE SOLUTION FOR THE EQUATION. ASSUME THAT ALL ANGLES IN WHICH AN UNKNOWN APPEARS ARE ACUTE ANGLES. COT ALPHA=TAN( ALPHA +40DEGREES) HOW DO I SOLVE THIS?

asked by HAYDEN4747 on August 31, 2011
75. Math

The angle of elevation to the top of a tower is 27 degrees, taken from a point 19 meters from the base of the tower. How high is the tower?

asked by Chloe on September 12, 2016
76. Math

P is a point 2m above the ground and 15m away from a tower. The angle of elevation of the tower from P is 65 degrees. Calculate the height of the tower.

asked by Angles of elevation on May 25, 2016
77. Trig

A vertical tower is on a 12° slope. from a 50 m down the hill, the angle of elevation of the top of the tower is 30°. find the height of the tower

asked by Jeff on April 15, 2014
78. math

A hiker is 400 meters away from the base of the radio tower. The angle of elevation to the top of the tower is 46 degrees . How high is the tower?

asked by Daniela on February 20, 2017
79. Math

From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are, 6 degrees and 13 degrees, respectively. The points and the tower are in the same

asked by jasmine on July 21, 2013
80. trigonometry

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 6th are 60° and 45° respectively.The distance of the base of the tower from the base of the building?

asked by asmita on October 23, 2014
81. Maths

a) Express f(theta) = 4cos theta - 6sin theta in the form r cos(theta + alpha) b) Hence find the general solution of the equation 4cos theta - 6sin theta =5 c) Hence, find the minimum value of the function 1/4+f( theta)

asked by Becky on April 23, 2019
82. Math

From a point P on the ground which is 100m from the foot of a church tower, the angle if elevation of the top of the tower is 50 degrees calculate the height of the tower...

asked by Phil on September 21, 2016
83. Trigonometry

At a point on the ground 125 ft from the base of a tower, the angle of elevation to the top of the tower has a degree measure of 38 degrees. How high is the tower

asked by Claire on April 23, 2016
84. math

Solution for: A man 1.7m tall observe that the angle of elevation of a top of a tower to be 28°.He moves 50m away from the angle of elevation to be 35°.How far above the ground is the tip of the tower to three significant figures.

asked by Gyamfi on February 10, 2016
85. Pre-Calc

A pilot of an airplane flying at 12,000 feet sights a water tower. The angle of depression to the base of the tower is 25°. What is the length of the line of sight from the plane to the tower?

asked by Peter on November 24, 2012
86. calculus

I need help with the following problem: From a point 50 meters from the bottom of a radio tower along level ground, the angle of elevation to the top of the tower is 67 degrees. What is the height of the tower?

asked by Don on September 3, 2012
87. atbu bauchi

when the angle of elevation is 30 degree the shadow of a vertical tower is 20m longer than when the elevation of the sun is 60 degree.find the height of the tower

asked by sunday daniel on November 3, 2015
88. trigonometry

the angle of elevation of a tower at place A south of it is 30degrees and at B west of A and a distance of 50 from it the angle of elevation is 18degrees, determined the height of the tower

asked by jack on June 5, 2017
89. MAth Igcse

The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40m.

asked by Choi on January 15, 2015
90. MAth Igcse

The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40m.

asked by Choi on January 15, 2015
91. Trig

Two observers 1 km apart spot an airplane. The angles of elevation of the airplane from the two observers are 22 degrees 50 minutes and 24 degrees 40 minutes. If the observers and the airplane are in the some vertical plnae, compute the altitude of the

asked by Trig on September 10, 2009
92. mathematics

Cand D are two observation posts on the same horizontal ground at the foot A of a vertical tower AB.the tower is 18m due north of D and 24m east of C.the angle of elevation of B from D is 35¡ã.calculate to three s.f the height AB,distance CD,angle of

asked by jenny on June 4, 2016
93. math

Cand D are two observation posts on the same horizontal ground at the foot A of a vertical tower AB.the tower is 18m due north of D and 24m east of C.the angle of elevation of B from D is 35¡ã.calculate to three s.f the height AB,distance CD,angle of

asked by dayo on June 22, 2017
94. Brain excel

R and S are two observation posts on the same horizontal ground as the foot P of a vertical tower PQ.The tower is 18m due north of S and 24m east of R.The angle of elevation of Q from S is 35degree.calculate the height pQ,the distance RS,the angle of

asked by Zenny on November 11, 2015
95. maths

6.The angle of elevation to the tower is 30(degree) and then moved towards the tower of a distance 20m. Now the angle of elevation is 60(degree). What is the height of the tower?

asked by Anonymous on September 23, 2015
96. Maths

From a point on a ground the angle of elevation from a tower is observed to be 60 degree. From a point on 40meter vertically above the first point of observation the angle of elevation from a tower is 30degree. Find the height of the tower and horizontal

asked by Arun on November 6, 2016
97. trig

On an inclined road, which makes an angle of 25 degrees with the horizontal plane, stands a vertical tower. At a point Q, 150 ft from the base of the tower down the road, the angle of elevation to the top of the tower is 65. How high is the tower?

asked by Jendey on May 6, 2014
98. help

The CN Tower is 553m high. A person in a boat on Lake Ontario, at a point B due south of the tower, observes the top (T) of the tower at an angle of elevation of 8 degrees. At the same time, another person, at a point C on a bearing {S 85 degrees E } from

asked by Kaitlin on September 26, 2006
99. trig

A plane is flying at an elevation of 30000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18. Find the distance between the plane and the airport. Find the distance between a point on the ground

asked by tim on March 10, 2010
100. Physics

An air traffic controller observes two airplanes approaching the airport. The displacement from the control tower to plane 1 is given by the vector A , which has a magnitude of 220 km and points in a direction 32 degrees north of west. The displacement

asked by Hiral on June 28, 2012