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

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1. 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. find the height of the ...
2. 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 degree respectively. ...
3. solid mensuration

104. A fly stationed at a point on the circumference of the base of a cylindrical tower of radius 12 ft. finds that he can just see a distance flagstaff by walking along the tangent line to the base either a distance 8 ft. in one direction or a distance 5 ft. in the other ...
4. 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 tower
5. math

A 127 foot tower is located on hill that is inclined 38° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 64 feet downhill from the base of the tower. Find the length of wire needed.
6. Math

7m long flagstaff is fixed on tower standing on horizontal plain . Frm a point on the ground angle of elevation of top and bottom of flag staff are 60 and 40 find height of tower
7. math

A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?
8. math

A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?
9. math

A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?
10. trig

a 7 foot tall man is standing 65 feet away from a tower. if the angle of elevation is 35 degrees. what is the height of the tower to nearest tenth of a foot?
11. 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 are complimentary. if...
12. MATH - GEOMETRY/TRIGONOMETRY

A 6 foot man stands by a 30 foot radio tower and casts a 10 foot shadow. How long is the shadow cast by the tower and what time is it? I got 50 feet for the length of the shadow. What I cannot find out is, what time is it? I NEED THE TIME OF DAY. **NOT** THE LENGTH OF THE ...
13. College Algebra

A person who is 6 feet tall walks away from a 50-foot tower toward the tip of the tower's shadow. At a distance of 32 feet from the tower, the person's shadow begins to emerge beyond the tower's shadow. How much farter must the person walk to be completely out of the tower's ...
14. 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).
15. Math [Geometry]

A 6 foot man stands by a 30 foot radio tower and casts a 10 foot shadow. How long is the shadow cast by the tower and what time is it? I got 50 feet for the length of the shadow. What I cannot find out is, what time is it?
16. 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 have to draw a picture...
17. 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...
18. college/ pre-cal

a square fence 9 feet high enclosing a radio tower is 3 feet from the tower on all 4 sides. guy wires used to hold the tower in position are attached to the tower 30 feet above the ground and 13 feet from the fence on all 4 sides. How long are the guy wires to the nearest foot.
19. Physics

A stone is projected horizontally from the top a tower with a speed of 5m/s.It lands on the ground level at a horizontal distance of 20m from the foot of the tower.Calculate the height of the tower.(g=10m/s2)
20. math

the angle of depression of a ship from a top of a tower is 46deree. a. If a ship is 126m from the foot of the tower, calculate the height of the tower. b. If the height of the tower is 72m tall, calculate the distance between the (i) ship and the foot of the tower (ii) ship ...
21. 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 the height of the tower.
22. trig

The angle of depression as measured from the top of a 41 foot tower to a reference point on the ground is 65 degrees. How far away, to the nearest foot, is the reference point from the base of the tower?
23. Geometry Part 2

A forest ranger spots a fire from a 28- foot tower.The angle of depression from the tower to the fire is 11.To the nearest foot,how far is the fire from the base of the tower?Show the steps you use to find the solution.
24. geometry

a forest ranger spots a fire from 28-foot tower. the angle of depression from the tower to the fire is 11 degre to the nearest foot, how far is the fire from the base of the tower
25. Geometry

A 6 foot tall fence post a 1 foot shadow. A nearby clock tower cast a 35 foot shadow. what is the height of the tower?
26. math

two points A and B 80 ft. apart lie on the same side of a tower and in a horizontal line through its foot. if the angle of elevation of the top of the tower at A is 21 degree and B is 46 degree, find the height of the tower.
27. math 115a

two points A and B 80 ft apart lie on the same side of a tower and in a horizontal line through its foot . If the angle of elevation of the top of the tower at A is 21 degrees and B is 46 degrees , find the height of the tower.
28. Math

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.
29. Math

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.
30. math

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.
32. Math

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.
33. 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?
34. math

In the given diagram,AB represents a vertical pole and CD represents a 40 m high tower both of which are standing on the same horizontal plane.From the top of the tower,the angles of depression of the top and the foot of the pole are 24 degrees,30 inches and 48 degrees,30 ...
35. geometry

A tower casts a shadow of 64 feet. A 6-foot tall pole near the tower casta a shadow 8 feet long. How tall is the tower.
36. trig

The Hall of Fame exhibits are displayed in an eight-story, 162-foot tower. Pei originally designed a 200-foot tower, but had to reduce its height to meet the requirements of a nearby airport. From the top of the existing tower, an observer sights the entrance to the museum’s...
37. Math Word Problem

A cross section of a nuclear cooling tower is a hyperbola with equation x^2/90^2-y^2/130^2=1. The tower is 450ft tall and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the tower to the center of the hyperbola. Find ...
38. Math

At a point p 20m away from the foot of the tower, the angle of elevation of the point p is 45.calculate the height of the tower.
39. MATH

13. A tree casts a shadow of 17 ft. The angle of elevation from the tip of the shadow to the top of the tree is 68°. To the nearest foot, what is the height of the tree? 14. The angle of depression of a diver from the boat is 34°, and the diver is 367 ft deep. To the nearest...
40. Math

A woman wants to measure the height of a nearby tower. She places a pole in the shadow of the tower so that the shadow of the pole is exactly covered by the shadow of the tower. The distance between the pole and the tower is , and the pole casts a shadow that is long. How tall...
41. Math (Calculus)

Tower 1 is 60 ft high and tower 2 is 20 ft high. The towers are 140 ft apart. A guy wire is to run from point A to the top of each tower. [See a picture of this situation on page 274 of the textbook.] How many feet from tower 1 should point A be so that the total length of guy...
42. 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 terms of X.
43. algebra

At a point on the ground 30 feet from the base of a tower, the distance to the top of the tower is 2 feet more than twice the height of the tower. Find the height of the tower.
44. GEOMETRY PLZ HELP ASAP

A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given. a. Find BC, the distance from Tower 2 to the plane, to the nearest foot. b. Find CD, the height of the plane ...
45. Precalculus

A tower casts a 235-foot-long shadow. If the angle of elevation from the tip of the shadow to the top of the tower is 66.3°, how high is the tower?
46. maths

from the top of a tower, the angle of depression of a boat is 30degree,if the toweR is20meter high how far is th boat from the foot of the tower witha diagram
47. science

A tower is 24m high. A stone is projected upwards from the tower with initial velocity of 24,5 m/s. Calculate how long it would take for the stone to reach the ground at the foot of the tower.
48. physics

a stone projected horizontally from the top of a tower with a speed of 4m/s lands on the level ground at a horizontal distance 25m from the foot of the tower. calculate the height[g=10m/s2]. is it u squared divided by 2g
49. Math

From the top of a tower,the angle of depression of a boat is 30degree if the tower is 20cm high how far is the boat from the foot of the tower
50. math

from the top of a tower, the angle of depression of a boat is 30 degree. if the tower is 20 meter high, how far is the boat from the foot of the tower?
51. math

Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower’s base. Approximately how long will the line need to be?
52. math

Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower’s base. Approximately how long will the line need to be?
53. Math

an electrician needs to run a cable from the top of a 48-foot tower to a transmitter box located 20 feet away from the base of the tower. Find how long he should cut the cable.
54. Math

1) A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given. a) find BC, the distance from Tower 2 to the plane, to the nearest foot. b) find CD, the height of the ...
55. Math Help in need of urgent assistance

A tower casts a 235-foot-long shadow. If the angle of elevation from the tip of the shadow to the top of the tower is 66.3°, how high is the tower? (Round your answer to one decimal place.)
56. trig

the angle of from the top of a 41 fdepression as measured oot tower to a reference point on the ground is 65 degrees. How far away, to the nearest foot, is the reference point from the base of the tower
57. 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?
58. geometry

A tower casts a shadow of 64 feet. A 6 foot tall pole near the tower casts a shadow 8 feet long. How tall is the tower?
59. math trig

two points A and Bare 80 feetapart on the same side of A towerand on a horizontal line through its foot.if angle of elevation of the top of the tower at A is 21 degree and B is 46 degree find the height of the tower.
60. Pre calc

A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of the tower is 25°. How tall is the tower? (Round...
61. Pre calc

A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of the tower is 25°. How tall is the tower? (Round...
62. math

A person hired a fire to build a CB radio tower. the firm charges 100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25. more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will cost \$...
63. Trig

Problem: A cable from the top of a 60 foot high tower is to be attached to the ground (x) feet from the base of the tower. A) if the cable makes an angle of t radians with the ground when attached, express t as a function of x. B) if t = pi/5, how far is the end of the cable ...
64. math

I have decided that a 300 foot tall tower needs an extra guide wire. The location I have chosen is 1000 feet from the base of the tower. What angle does the wire make with the ground and what length will the wire be?
65. math

you have an unfortunate brush with the law and you are required to spend some time in the penitentiary. (Naturally you have brought your math 30 course notes with you for a bit of light bedtime reading. You also hope to enlighten your fellow inmates with your mathematical ...
66. MATH

A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of 5 degrees. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet directly above and directly below the base of ...
67. math

a 26 foot tree cast a shadow of 14 feet, a nearby tower cast a shadow of 21 feet, how tall is the tower?
68. maths

if the angle of elevation of a tower from a distance of 100m from its foot is 60*, then the height of tower is
69. mathematics

a person hired a firm to build a cb radio tower. the firm charges \$100 for labor for the first 10 feet. after that the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. that is, the next 10 feet will cost \$125 the next 10 feet will cost \$150...
70. calculus

Tower 1 is 90 ft high and tower 2 is 40 ft high. The towers are 200 ft apart. A guy wire is to run from point A to the top of each tower. [See a picture of this situation on page 274 of the textbook.] How many feet from tower 1 should point A be so that the total length of guy...
71. MATH

A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire.Find the height of the tower. 20^2=H^2 + (H-4)^2 solve for h 400=2H^2 - 8H +16...
72. Math/Trig

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 vertical plane and the ...
73. 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, and , respectively. The points and the tower are in the same vertical plane and the distance from A to B is 1...
74. math

A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will cost \$...
75. math

35. A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will ...
76. math

A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will cost \$...
77. math

. A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125, the next 10 feet will cost...
78. arithmetic

need a reinstatement A person hired a firm to build a CB radio tower. The firm charges \$100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is \$25 more than the preceding 10 feet. That is, the next 10 feet will cost \$125; the next...
79. math

A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire. Find the height of the tower. 20 ft.= w x.4 = height of tower something like ...
80. geometry

a cylinder water tower is three-fourths full of water.the tower is 24 feet tall and has a diameter of 28 feet.how much water is in the tower now?
81. 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 elevation from C,bearing...
82. 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 elevation from C,bearing...
83. 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.
84. 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 elevation of Q from S and ...
85. Math

If the angle of elevation of a tower from two points at distance a and b where a is greater than b from its foot and in the same straight line from it are 30degree and 60degree ,find the height of the tower
86. maths

A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far is each car from the tower ?
87. maths

A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far is each car from the tower ?
88. Math

From a window A,10m above the ground, the angle of elevation of the top C of a tower is x degrees,where tan X=5/2 and the angle of depression of the foot D of the tower is y degrees, where tan y=1/4.calculate the height Cd of the tower in metres.
89. 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 vertical plane and the ...
90. Geometry

A lighthouse keeper in his observation tower 120 feet above the water sees a pontoon airplane and a small fishing boat. If the plane is directly above the boat, how far above sea level is the plane flying, rounded to the nearest foot? Be sure to show your work
91. calculus

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 200 m. Find an equation for the tower. (Assume the center is at the origin with axis the ...
92. calculus

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 200 m. Find an equation for the tower. (Assume the center is at the origin with axis the ...
93. Physics

A stone is thrown from the top of a tower of height 60m with velocity 40m/s at an angle of 30 degree above the horizontal. Calculatethe time taken by the stone to hit the ground. At what distance from the foot of the tower the stone hits the ground.
94. 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 vertical plane and the ...

problem solving investigation: draw a diagram problem: kelly is using 3-inch square tiles to cover a 4-foot by 2-foot area the tiles are 0.5 inches tall if the tiles were stacked on top of each other to create a tower, how many inches tall would the tower be?
96. Maths

On the horizontal plane there is a vertical tower is a vertical tower and the shadow of its is found to be 40 m longer.when sun's altitude is 30 degree than what it is 60 degree.find the height of tower.
97. 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? Draw a figure. Convince...
98. maths

Q vertical pole and a tower are on the same level Ground.from the top of the pole angle of elevation of the top of the tower is 60 degree and the angle of depression od foot of the tower is 30 degree.find the height of the tower if the height of the pole is 20 meter
99. math

water tower is 11 feet high diameter is 18 feet,how many cubic feet are in this tower?
100. geometry

A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the airport tower is 32°. How far is the tower from a point directly beneath the plane?