# 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.
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
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
4. ## 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
5. ## 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
6. ## 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?
7. ## 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
8. ## 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**
9. ## 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?
10. ## 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
11. ## Opt math

A flagstaff is placed one corner of a level rectangular playground 40m and 30m wide. If the angle of elevation of the top of the flagstaff from the opposite corner of the ground is 45°.calculate the height of the flagstaff.
12. ## 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.
13. ## 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?
14. ## 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?
15. ## 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?
16. ## 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.
17. ## 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
18. ## 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
19. ## 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
20. ## 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
21. ## 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
22. ## 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
23. ## 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
24. ## 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
25. ## math

if asphalt costs \$0.78 per square foot, determine, to the nearest cent, the cost of paving the shaded circular road with center O, an outside radius of 50 feet, and an inner radius of 36 feet. (the big circle is shaded)
26. ## 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).
27. ## 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
28. ## 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
29. ## 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.
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. ## 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.
34. ## 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.
35. ## 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?
36. ## 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?
37. ## 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?
38. ## 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.
39. ## 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
40. ## 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?
41. ## 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
42. ## 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?
43. ## Math

A carpenter purchased 25.25 feet of hardwood at \$25.20 per foot, and 3 types of trim molding: 2.6 feet \$1.90 per foot, 2.8 feet at \$3.90 per foot, 7.5 feet at \$4.90 per foot. How much did he spend on this purchase?
44. ## 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
45. ## probability

a circular dartboard of tedious 1 foot is at a distance of 20 feet from you.you throw a dart at it and it hits the dart board at some point q.what is the probability that q is closer to the center of the circle than the periphery ?
46. ## 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.
47. ## 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
48. ## 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?
49. ## Algebra

Studying Microgravity. NASA'S Glen Research Center in Cleveland, Ohio, has a 435-foot drop tower that begins on the surface and descends into Earth like a mineshaft. How long will it take a sealed container to fall 435 feet? Round to the nearest tenth of a
50. ## Physics

The earth's Field is Roughly equivalent to an axial centered dipole. Find the vertical rate of change of the vertical component of the earth's field in gammas/foot here at flagstaff. Given" vertical component of earth's magnetic field at flagstaff is equal
51. ## Math

Mack needs to buy fencing to surround his circular garden. If his garden is 30 feet across and fencing cost \$4.50 per foot, how much will it cost to fence in Mark's garden? If the radius if of a circle is 4 feet, what is its circumference ? Ben ran 10
52. ## 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?
53. ## 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
54. ## 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
55. ## 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...
56. ## Algebra 2

An arch in the shape of the top half of an ellipse is 10 feet wide and 3 feet high at the center. Find the height of the arch 1 foot from the center.
57. ## 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
58. ## math

The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot. A. about 14 feet B. about 8 feet C. about 11 feet D. about 10 feet any help?
59. ## math

the function h(x)=1/98x^2 h(x) is the height of part of a rollercoaster track, when x is the horizontal distance in feet from the center of this section of the track the tower that supports the this part of the track are the same height and are 150 feet
60. ## Math

Can you please explain step by step on how to do each of these two problems below? And then tell me whether it involves an arithmetic sequence or a geometric sequence I also need the work shown out for both problems thank you. 1). A person hired a firm to
61. ## 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)
62. ## 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
63. ## math

A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 7 feet from the top and is to make an angle of 30° with the ground? Give your answer to the nearest tenth of a foot
64. ## Algebra

Please help me to to solve this quadratic equation word problem. Here is the question: Studying Microgravity. NASA'S Glen Research Center in Cleveland, Ohio, has a 435-foot drop tower that begins on the surface and descends into Earth like a mineshaft. How
65. ## Precalculus/Trig 5

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 26 degrees with the ground? Give your answer to the nearest tenth of a foot
66. ## Precalculus/Trig 5

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 26 degrees with the ground? Give your answer to the nearest tenth of a foot
67. ## 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
68. ## 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
69. ## Calculus 2

A circular plate of radius r feet is submerged vertically in a tank of fluid that weighs w pounds per cubic foot. The center of the circle is k(k>r)feet below the surface of the fluid. Show that the fluid force on the surface of the plate is F=wk(πr^2).
70. ## 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
71. ## Algebra

The height of Tower A is 940 feet more than Tower B. The two towers have a combined height of 1,540 feet. What are the heights of each​ tower?
72. ## maths

from a point on the ground the angle of elevation of the bottom and top of a flagstaff situated on top of a 120 m tall house is 30 and 45 degrees respectively.find the height of the flagstaff.
73. ## 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.
74. ## 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.
75. ## 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.
76. ## Math

Cooling towers for nuclear reactors are often constructed as hyperboloids of one sheet because of the structural stability of that surface. Suppose all horizontal cross sections are circular, with a minimum radius of 200 feet occurring at a height of 600
77. ## 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?
78. ## 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
79. ## math

A tower casts a shadow 11 feet long. The distance from the top of the tower to the end of the shadow is 61 feet. how many feet tall is the tower? 61Squared = 11squared = h squared 3721 = 121 + h squared -121 = -121 3600 = h squared I get stuck at this
80. ## math

If a metal ball is thrown downward with an initial velocity of 22 feet per second (15mph)from a 100 foot water tower, it's height h in feet above the ground after t seconds is modeled by h(t)=-16t^2-22t+100 Determine when the height of the ball is 62 feet.
81. ## 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.)

A cable that is used to support a 76 foot tower is secured to the ground 31 feet from the base of the tower. Find the angle of elevation to the nearest degree that the cable makes with the ground. Answer choices: 22 degrees, 24 degrees, or 68 degrees.
83. ## oblique triangle trigonometry

The leaning Tower of Pisa in Italy leans because it was built on unstable soil – a mixture of clay, sand, and water. The tower is approximately 58.36 meters tall from its foundation. The top of the tower leans about 5.45 meters off center. Find the angle
84. ## 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
85. ## 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
86. ## 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?
87. ## Geometry

A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of the original triangle? A. 3 feet, 4 feet, and 5 feet B. 1.5 feet, 1.25 foot, and 1.25 foot C. 2 feet, 0.5 feet, and 1.8 feet D.
88. ## math

water tower is 11 feet high diameter is 18 feet,how many cubic feet are in this tower?
89. ## Geometry

A surveyor is 130 feet from a tower. The angle of elevation to the top of the tower is 32 degrees. Find the height 81.2 feet?
90. ## 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?
91. ## 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?
92. ## Geography

A guy wire is attached on the ground 100 feet from the base of the tower. The wire is also attached to the top of the 300 foot tower. How long is the guy wire?
93. ## 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
94. ## 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
95. ## 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?
96. ## trigonometry

A rock dropped from the top of the Learning Tower of Pisa falls to a point 14 feet from its base. If the tower is 182 feet tall, at what angle does it lean at the ground?
97. ## Math

A ball is thrown from the top of a 75-foot tower with a velocity of 32 feet per secon. Find the equation of the parabolic path.
98. ## Math

The Leaning Tower of Pisa in Italy leans because it was built on unstable soil—a mixture of clay, sand, and water. The tower is approximately 58.36 meters tall from its foundation (see figure). The top of the tower leans about 5.45 meters off center. Use
99. ## geography

what is a circulating current of magma It is boiling hot melted rock, moving about in some circular flow. Apparently there are places underground where magma (molten basalt above 1000 C) circulates in a flow loop, up and down, without reaching the surface.
100. ## 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?