# 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. ### 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.
3. ### 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?
4. ### 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
5. ### 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...
6. ### 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?
7. ### 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 and d because they are...
8. ### 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 because i did tan63 * ...
9. ### 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 should be used for ...
10. ### Physics

An arrow is shot horizontally with a speed of 20 m/s from the top of a tower 60 m high .The time to reach the ground will be???????
11. ### 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
12. ### 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?
13. ### PHYSICS

A BALL IS PROJECTED VERTICALLY UPWARD FROM THE TOP OF A TOWER 60MITRE HIGH WITH A VELOCITY OF 30MITRE PER SECONDS.WHAT IS THE MAXIMUM HEIGHT ABOVE THE GROUND LEVEL?HOW LONG DOES IT TAKE TO REACH THE GROUND?
14. ### math

a telephone pole is supported by two cables attached to points on the pole 15 ft above ground and to points on the level ground 8 ft from the foot of the pole. what is the total length of the two cables
15. ### 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
16. ### 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 meters long on level ...
17. ### 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.
18. ### 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...
19. ### physics

a ball projected vertically upwards from the top of the tower 60 meters high with a velocity of 30 meters per second. what is the maximum height above the ground? how long does it take to reach the ground?
20. ### 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 ground. Round your ...
21. ### 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.
22. ### analytic geometry

The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600 ft apart. The cables are attached to towers at a height of 110 ft above the road. The...
23. ### 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)
24. ### Physics

A body dropped from the top of the tower covers a distance 7x in the last second of its journey, where x is the distance covered in first second. How much time does it take to reach the ground?
25. ### applied mechanics

a body is projected upwards with a velocity of 50 m/s from the top of a tower 100 m high.How long will it take to reach the ground? What will be the velocity with the body strikes the ground?
26. ### Physics

From top of a tower 160 m high a body is projected upwards with a velocity of 40 m/s making an angle of 30° with the horizontal. Find the time it will take to reach the ground
27. ### 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...
28. ### 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 velocity at the moment of...
29. ### 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
30. ### 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 tower?
31. ### distillation

what is the purpose of adding packing material to the distillation column? what is the purpose of insulating the distillation column?
32. ### 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.
33. ### 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
34. ### 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 wrong that the angle ...
35. ### 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 high is the window ...
36. ### 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 ...
37. ### 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.
38. ### 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 ...
39. ### keshavareddy schoolphysics

a body is released from the top of the tower Hmetres high. It takes t seconds to reach the ground .where is the body t/2 second after release
40. ### trig

TA and TB are two cables helping to brace a 500 ft radio tower, FT. If the angles which the cables make with the horizontal are 62 and 50 (degrees), find the distance between their anchor points
41. ### 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 ...
42. ### 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.
43. ### Math

A vertical tower is supported by guy wires anchored at a point on the ground. The longer wire is attached to the top of the tower and makes an angle of 53 with the ground. The shorter wire makes an angle of 21 with the ground. The shorter wire is 80 ft. long. Where would the ...
44. ### 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 from the tip of the ...
45. ### Calculus

A cable is suspended from two towers with a distance of 100m between them. The 1st tower has a height of 50m and the 2nd tower has a height of 70m from the ground. The lowest part of the cable has a distance of 47m from the ground. Find the length of the cable
46. ### Math

A ladder is needed to reach the top of a second floor window, A distance of 20 feet above the (level) ground. According to the directions on the ladder, the distance between the bottom of a leaning ladder and the base of the (vertical) wall it is leaning up against should be ...
47. ### 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 figure is determined ...
48. ### calculus

Baseball Star Bryan is standing at the top of the Sears Tower in Chicago and decides to throw a baseball up with a velocity of 5 m/s. The Sears Tower is 442 meters tall and gravity exerts a constant acceleration of -9.8 m/s/s. Ignore ball mass and wind resistance. a.) Find ...
49. ### 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 minutes. If the base of the ...
50. ### 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.
51. ### math

Find the length of a guy wire that makes an angle of 45.5 degrees with the ground if the wire is attached at the top of a tower 63.0 meters high
52. ### 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?
53. ### engineering

. A platform with boat weighs 10,000 N. Four cables are attached to the platform as shown; the edges of the platform are always a horizontal distance of 2 m from the pulleys. As the platform rises smoothly and evenly, the length L of the cables decreases and the angle θ ...
54. ### 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 60°. If Jack’s and ...
55. ### Calculus

A fence 5 feet tall runs parallel to a tall building at a distance of 2 feet from the building. We want to find the the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Here are some hints for finding a solution: Use the...
56. ### physics

from the top of a tower which is 122.5 m high,a stone is thrown horizontally with a velocity of 5 m/s. what horizontal distance will be stone travel before hitting the ground
57. ### physics

A centrifugal pump pumps 100 lbs/hr of water 100 ft high to the top nozzle of a distillation column. The pump impeller is 3 ft diameter?
58. ### 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
59. ### Math

A circus performer walks on a tightrope 25 ft above the ground. The tightrope is supported by two beams and two support cables. If the distance between each beam and base of its support cable is 15 ft, what is the length of the support cable?

A stone is 24M high.a stone is projected upward from the tower with an initial velocity of 24,5m/s. calculate how long it would take for the stone to reach the ground at the foot of the tower.
61. ### 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 the towerobserves an ...
62. ### 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 height of the tower. (...
63. ### physics

Each vertical steel column of an office building supports a weight of 1.30 x 10^5 N and is compressed to 5.90 x 10^-3 A) Find the compression in each column if a wegith of 5.50 x 10^5 N is supported. B)If the compression of each steel column is 0.0710 cm, what wight is ...
64. ### Calculus

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Answer the following: The distance along the ladder to the top ...
65. ### 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 ...
66. ### physics

A metal ball is thrown vertically upwards from the top of a tower with an initial velocity of 20 metres per seconds. If the ball took a total of 6 seconds to reach ground level, determine the height of the tower.
67. ### Physic

A ball is projected vertically up word from the top of tower 60m ,hight with velocity 30m ,what is the mex heigh above the ground leve? How long it take to reach the ground
68. ### 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 figure is determined...
69. ### 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?
70. ### 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
71. ### 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?
72. ### 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 tower. The angle formed by...
73. ### 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 answer to the ...
74. ### 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 ...
75. ### 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...
76. ### math

the leaning tower of pisa is 55.9m tall and leans 5.5 deg from the vertical. if its shadow is 90.0m long, what is the distance from the top pf the tower to the edge of the shadow? assume that the ground is level. please help in details
77. ### 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
78. ### 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?
79. ### 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?
80. ### math

ball thrown up from top of 96 foot high tower with initial velocity of 80 ft/s. when does ball reach max height and how high is it at that time?
81. ### Elasticity (Physics)

A tunnel of length L=150m, height H=7.2m, and width w=5.8m (with a flat roof) is to be constructed at a distance d=60m beneath the ground. The tunnel roof is be entirely supported by square steel columns, each with a cross sectional area of 960 cm^2. The mass of 1.0 cm^3 of ...
82. ### Physics

From the top of a tower is an object with mass 25 kg which is lowered with ropes at a constant speed, 4 m / s to the ground. After 10 seconds the rope by which an object falls freely. From the moment there are 12 seconds to those standing on top of the tower hears the sound of...
83. ### maths

The top of a T.V tower casts a shadow of 35 metres long when the angle of elevation of the sun 57°40'.How high is the top of the tower?
84. ### math

if a ladder 15 meters long is placed so as to reach the bottom of a window 10 meters high, what distance on the ground does the ladder adjusted if it is placed on the top of a two meter square window and what is the new angle of elevation of the top of the window with respect ...
85. ### 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 know what steps to take...
86. ### math

from the top of a cliff 50 m high the angle of depression of the top and bottom of tower are observed to be 30 and 45 degree resp. find h of tower ?
87. ### math

from the top of 50 metre high hill the angle of depression of the top and the bottom of a tower are 30°and45°.find the hight of the tower
88. ### Maths

The top of a T .V .tower casts a shadow 35 metres long when the angle of elevation of the sun 57 degree40 minutes.How high is the top of the tower?
89. ### 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.
90. ### 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?
91. ### physic

A tennis ball is projected horizontally from the top of a cliff 50m high with a velocity of 10ms -1 , find (a) the time taken to reach the ground (b) the distance from the foot of the cliff to where the ball hits the ground.
92. ### 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.
93. ### trig

The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30degree and 60degree respectively. find the height of the tower
94. ### Physics

A tunnel of length L = 141 m, height H = 6.9 m high, and width 6.0 m (with a flat roof) is to be constructed at distance d = 60 m beneath the ground. The tunnel roof is to be supported entirely by square steel columns, each with a cross-sectional area of 960 cm^2. The mass of ...
95. ### 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?
96. ### math

a post 47 m high is supported by two equal wires attached to its top and to two points on a level ground, each of it is 18 m from the food of the post. Find the length of each wire
97. ### 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 in the ground, that is...
98. ### 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.
99. ### 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 is the speed of the ...
100. ### 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.