# A chemical distillation tower, 110 m high is supported by cables of length L that reach from the top of the column to the ground at a distance D from the base of the tower. If D is 1/3 the

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1. ## math

A chemical distillation tower, 110 m high is supported by cables of length L that reach from the top of the column to the ground at a distance D from the base of the tower. If D is 1/3 the length of a cable, find L and D.
2. ## Pre-Calculus

A wire from the top of a TV tower makes an angle of 49.5 with the ground and touches the ground 225 feet from the base of the tower. How high is the tower?
3. ## 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
4. ## 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
5. ## 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
6. ## Math

Another question is a guy wire stretches from the top of an antenna tower to a point on level ground 18 feet from the base of the tower. The angle between the wire and the ground is 63 degrees. How high is the tower? So I said the tower was 3503 fet high
7. ## trig

A tower is supported by a guy wire from the top of the tower to the ground 16 ft from its base. The wire makes an angle of 62 with the ground. The length of the wire is a. 30.09 ft b. 18.12 ft c. 28.41 ft d. 34.08 ft
8. ## Word Problem

A wire from the top of a TV tower to the ground makes an angle of 52 degrees with the ground and touches the ground 180 feet from the base of the tower. How high is the tower? a)290 feet b)230 feet c)110 feet d)140 feet I'm pretty sure we can eliminate c
9. ## 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
10. ## 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
11. ## Math

The angle of elevation on the top of a radio tower is 7.5° from the ground at a distance of 1.5 miles from the base of the tower find the height of the tower. My answer : 2.71 miles
12. ## 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.
13. ## 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
14. ## Math Gr12 (advanced functions)

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59m. What obtuse angle does the tower make with the ground?
15. ## math

Fiona is repairing the wiring on a radio broadcast tower. She is in the basket of the repair truck 40m from the tower. if she looks up at an angle of 42° she can see the top of the tower. She can see the base if she looks down at an angle of 32°. How
16. ## Math

from a lockout tower 25 meters high, a man observes from a position 1.70 meters below the top of the tower that the angle of elevation of the top of a nearby building is 12 degrees 40 minutes and the angle of depression of its base is 70 degrees 20
17. ## math

To secure a 500 meter radio tower against high winds, guy wires are attached to a ring that is 5 meters from the top of the tower. The wires form a 15 degree angle with the tower. Find the distance from the base of the tower to the guy wire anchor in the
18. ## 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?
19. ## 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?
20. ## Algebra

At a point 16 yards from the base of a tower,the distance to the top of the tower is 4 ysrds more than the height of the tower.Find the height of the tower.
21. ## TRIG Help help help test tommarow

A TV tower stands on top of the Empire State building. From a point (on the ground) 1150 feet from the base of the building, the angle of elevation to the top of the TV tower is 52 degrees. If the building is 1250 feet tall, what is the length of the TV
22. ## Physics

A rock thrown horizontally from the top of a radio tower lands 20.0 m from the base of the tower. If the speed at which the object was projected was 11.50 m/s, how high is the tower?
23. ## Math

1) A television tower is 160 feet high and an observer is 120 feet from the base of the tower. Find, to the nearest degree, the angle of elevation of the top of the tower from the point of observation. 2) A vertical pole 22 meters tall casts a shadow 16
24. ## 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?
25. ## 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
26. ## Trigonometry

frrom outlook tower 80ft. high, a man observes from a position 6.5ft. below the top of the tower that the angle of elevstion of the top of certain tree is 12deg40mins and the angle of depression of its base is 72deg20mins. If the base of the tower and the
27. ## trigonometry

From lookout tower 80ft. high, a man observes from a position 6.5 ft. below the top of the tower that the angle of elevation of the top of the certain tree is 12deg40mins and the angle of depression of its base is 70deg20mins. If the base oof the tower and
28. ## Trig

Four wires support a 40-meter radio tower. Two wires are attached to the top and two are attached to the center of the tower. The wires are anchored to the ground 30-meters from the base of the tower. What is the total length of wire needed?
29. ## Precalc

A tower is supported by a guy wire 610 ft long. If the wire makes an angle of 69 degrees with respect to the ground and the distance from the point where the wire is attached to the ground and the tower is 125 feet. a) State if the law of sines or cosines
30. ## 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)
31. ## 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
32. ## Math

The leaning tower of Pisa is 55.9 m tall and leans 5.5 degrees from the vertical. If its shadow is 90 m long, what is the distance from the top of the tower to the top of the edge of its shadow, assuming the ground around the tower is level?
33. ## science

A tower is 24 m high. A stone is projected upwards from the tower, at a velocitry of 24,5 m/s. Calculate how long it would take the stone to reach the ground at the roof of the tower.
34. ## 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.
35. ## science

A ball is thrown upward from the top of a 35-m tower, with initial velocity of 80m/s at an angle of 25 (a) find the time to reach the ground and the distance from the base of the tower to the point of impact (b) find the magnitude and direction of the
36. ## Trig

Bob the ranger is atop a fire tower that i son the side of a mountain.The fire tower is 10 meters high and the angle of depression from the top of the tower to the base of the mountain is 48 degrees. The tower creates a 115 degree angle with the mountain.
37. ## Trigonometry

A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 50 m downhill from the base of the tower. The angle α in the
38. ## 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
39. ## math

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is
40. ## math calc

A water tower is located 354 feet from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 42° and that the angle of depression to the bottom of the tower is 20°. How tall is the tower? How
41. ## math last set up

To secure a 618 meter radio tower against high winds, guy wires are attached to a ring 10 meters from the top of the tower. Each wire is anchored 90 meters from the base of the tower. Find the measure of the angle the wire makes with the ground. Round your
42. ## math - trig

The tallest television transmitting tower in the world is in North Dakota, and it is 2059 feet tall. If you are on level ground exactly 5280 feet (one mile) from the base of the tower, what is your angle of elevation looking up at the top of the tower?
43. ## PRE-CALC HELP

A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 150 m downhill from the base of the tower. The angle α in the
44. ## math trigonometry

two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of each tower
45. ## math

Can someone please take a look at these results and make sure they're correct? Thank you! 5. The Leaning Tower of Pisa leans toward the south at an angle of 5.5 degrees. One day near noon its shadow was measured to be 84.02m long and the angle of elevation
46. ## 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.
47. ## math

two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of each tower
48. ## Trig

The Leaning Tower of Pisa is 55m tall. The tope edge of the tower is 5m out from the bottom edge. What is the angle created between the ground and the tower? Round your answer to the nearest degree. tan -1 (55/5) = 85 degrees but my Brother says I did it
49. ## trigonometry

a flagpole 25 feet high stands on the top of a tower, which is 105 feet high. at what distance from the base of the tower will the flagpole subtend an angle of 3 degrees, 20 minutes?
50. ## MATH!!!!

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
51. ## 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.
52. ## 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.
53. ## Math

A wire to the top of a tower makes an angle of 52 with the le el ground. At a point 32 ft. Farther from the base of the toser and in líne with the base of the wire, the angle of elevation to the top of the toser is 21. What is the length of the tower.
54. ## math

From a lookout tower 80 ft. high, a man observes from a position 6.5 ft. below the top of the tower that the angle of elevation of the top of a certain tree is 12 degrees 40 minutes and the angle of depression of its base is 72 degrees 20 minutes. If the
55. ## math

The angle of elevation of the top of a tower from a point on a level ground 450m away is 20° find how high the tower is from the ground
56. ## 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
57. ## Math

A communications tower is located at the top of a steep hill, as shown in the figure below. The angle of inclination of the hill is 68°. A guy wire is to be attached to the top of the tower and to the ground, 150 meters downhill from the base of the
58. ## maths

the distance from you to the base of a tower on top of a hill is 2760 ft. the angle of elevation of the base is 26 degrees the angle of elevation of the top of the tower is 32 degrees.find the nearest foot the height of the tower above the top of the hill
59. ## Maths

The angle of elevation of the top of a tower from a point 42m away from its base on level ground is 36°. Find the height of the tower
60. ## Mathematics

The angle of elevation of the top of a tower from a point 42m away from it base on level ground is 36 degrees find the height of the tower
61. ## 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
62. ## 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?
63. ## 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...
64. ## trigonometry

The angle of elevation of the top of a tower to point A on the ground is 61 degrees. At point B it is 600 feet farther from the base, in line with the base and the first point and in the same plane, the angle of elevation is 32 degrees. Find the height of
65. ## Math trig

Two towers 50 meters apart from the top of the shorter tower to the top of the taller tower 43 degree elevation, depression from the top of shorter tower to the bottom of the taller tower is 36 degrees what is the height of each tower?
66. ## maths

The angle of elevation of the top of a tower from a point is 42m alwayfrom its base on level ground is 36 degree. Find the hight of the tower
67. ## maths

from a top of a vertical tower the angles of depression of two cars in the same straight line with the base of the tower at an instant are found to Ber 45 degree and 60 degree if the cars are 100 m apart and are on the same side of the tower find the
68. ## 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?
69. ## 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
70. ## geometry

for a guy wire to a tower is 180 feet long and makes an angle of 34 degrees with the tower.If the ground is level,how far from the base of the tower is the anchor part?
71. ## Physics

A 58.7-kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high. A) How far does the ball fall in the first 3.08 seconds of flight? = 46.5 m B) What is the speed of the ball after it has traveled 2.10 m downward? = 6.42 m/s C) What
72. ## science

a ball is thrown vertically upwards from the top of a tower with a speed of 100 ms-1. it strikes the pond near the base of the tower after 25 seconds. the height of the tower is? a)500m b)125m c)625m
73. ## 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
74. ## Algebra

A radio tower is supported by a wire fastened to the ground 60 feet away from the base of the tower. If the slope of the wire is 3/2 approximately how long is the wire
75. ## trig

Two office towers are 43m apart. From the top of the shorter tower, the angle of elevation to the top of the taller tower is 26o while the angle of depression to the base is 51o. Determine the height of each tower and round your answers to one decimal
76. ## trigo

A television tower stands on the top of the building from point 83.7 feet from the base of the building the angles of elevator to the top and the base of the tower are 63.20 minutes and 38.51 minutes respectively. How tall is the tower?
77. ## Math

5. The Leaning Tower of Pisa leans toward the south at an angle of 5.5 degrees. One day near noon its shadow was measured to be 84.02m long and the angle of elevation from the tip of the shadow to the following, assume that the Tower is like a pole stuck
78. ## trig

Four wires support a 40-meter radio tower. Two wires are attached to the top and two wires are attached to the center of the tower. The wires are anchored to the ground 30-meters from the base of the tower.
79. ## Math!

From the top of a 40m fire tower, a fire ranger observes smoke in tower locations. One has a an angle of depression of 10o, and the other has an angle of depression of 7o. Calculate the distance between the smoke sightings when they are a.) on opposite
80. ## 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
81. ## 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?
82. ## Maths

The angle of elevation of the top of a tower fron a point 42m away from its base on level ground is 36degree.find the height of the tower.NOTE:no calculation only scale drawing
83. ## Physics

A stone is thrown vertically upward from the top of the tower with a velocity of 15m / s. Two seconds later a second stone is dropped from the top of the tower.if both the stone strike the ground simultaneously find the height of the tower
84. ## Math

The Leaning tower of pisa is 55.9m tall and leans 5.5 degrees from the vertical. If its shadow is 90.0m long, what is the distance from the top of the tower to the top of the edge of it’s shadow? Assume that the ground is level.
85. ## 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
86. ## 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
87. ## physic

a stone A is dropped from the top of tower and B is thrown downward from same point 2 seconds later with initial velocity of 30 ms , if the same stone A and B reach the ground at same time, find height of the tower
88. ## 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
89. ## 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
90. ## math

a school is 800 m from the base of a cellphone tower.if the angle of elevation of the tower is 45 degree 45 inches from the school,how high is the tower?
91. ## 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
92. ## 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?
93. ## math

A square canopy is supported on 4 corners by poles. Each pole is supported by 3 cables, each cable is attached to the top of the 12 foot pole and 5 feet away from the base. Find he total length needed for all of the cables.
94. ## trig length

To secure a 610-meter radio tower against high winds, guy wires are attached to a ring on the tower. The ring is 7 meters from the top. The wires form a 69o angle with the ground. To the nearest hundredth meter find the length of the guy wire
95. ## Math

The angle of depression from a water tower to a forest fire underneath the tower is 18°. If the height of the water tower is 60 meters, what is the horizontal distance on the ground between the water tower and the fire?
96. ## Any Math Tutor Online? Help

man on 12m tower, he observed two houses. the angle of depression to one of them was 6' and the other is 3'. how far apart the houses are. Calculate the distance between the house if: a)the houses are on the same side of the tower b)the houses are on
97. ## 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?
98. ## 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
99. ## physics

Stone dropped from top of a tower 100m high. At same instant another stone is thrown vertically from base of the tower with a velocity of 25m/s. When and where will the two stones meet? Given g =10 m/s^2
100. ## physics

Stone dropped from top of a tower 100m high. At same instant another stone is thrown vertically from base of the tower with a velocity of 25m/s. When and where will the two stones meet? Given g =10 m/s^2