# 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

31,532 results
1. ## algebra

A wire to be attached to support a telephone pole. Because of surrounding buildings, sidewalks and roadways, the wire must be anchored exactly 21 feet from the base of the pole. Telephone company workers have only 28 feet of cable, and 2 feet of that must

2. ## Calculus

A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is her shadow lengthening when she is 30 ft from the base of the pole?

3. ## Math: Trig

to determine the height of a pole across a road, Justin takes two measurments. he stands at Point A directly across from the bass of the pole and determines that the angle of elevation to the top of the pole is 15.3 degrees. he then walks 30m parallel to

4. ## Phyics

A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of

5. ## trig

A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. Find her distance x from the pole. (Round your answer to one

6. ## Math

It was observed that the shadow of a vertical pole of 6 meters longer when the angle of elevation of the sun was 30° than when it was 60°.By means of a sketched diagram,calculate,correct to two decimal places,the height of the pole.

7. ## Math

1. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, measure the angle of elevation to the top of the pole to be 36*. to the nearest foot, what is the height of the pole? A) 87

8. ## math

A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 ft from the base of the pole?

9. ## Math

a man 1.83m tall, stands al a distance of 14.8m away from the base of a tower. he discovers that the angle of elevation of the top of the tower is 63 calculate the height of the tower.

10. ## Algebra

A wire is stretched from the ground to the top of an antenna tower. The wire is 15 feet long. The height of the tower is 3 feet greater than the distance d from the tower's base to the end of the wire. Find the distance d and the height of the tower.

11. ## Algebra Polynomial Equations

A wire is stretched from the gound to the top of an antenna tower. The wire is 25 feet long. The height of the tower is 5ft greater than the distance d from the tower's base to the end of the wire. Find the distance and the height of the tower.

12. ## Calculus

A street light is at the top of a 19 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 feet from the base of the pole?

13. ## 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.

14. ## 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

15. ## 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?

16. ## 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

17. ## Math

a woman looking out from a window of a building at a height of 30meters observed that the angle of depression of a flag pole was 44°. if the foot of the pole is 25meters from the foot of the building from the same horizontal, find (a) correct to the

18. ## Calculus

A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole.

19. ## MATH WORD PROBLEM

MEASUREMENT: A woman is 5 ft tall and her shadow is 4ft long a nearby tree has a shadow 30 ft long. how tall is the tree? my answer i got was; 37.5 ft is that right? a man is standing near a totem pole. the man is 74 in tall. his shadow is 4ft long. the

20. ## Math

A communications company erects a 100-foot tall cellular telephone tower on level ground. Determine the angle of depression, θ (in degrees), from the top of the tower to a point 43 feet from the base of the tower. Round answer to two decimal places.

21. ## mathematics

A woman wants to measure the height of the building. She places a 7 ft pole in the shadow of the building s I that the shadow of the building. The total length of the building is 167 ft, and the pole casts a shadow the is 5.5 ft long. How tall is the

22. ## 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

23. ## 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

24. ## Calculus

A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole?

25. ## 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

26. ## 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?

27. ## 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

28. ## trig

guy wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the height of the pole (round to 2 decimal places)?

29. ## Algebra Polynomial Equations

A wire is stretched from the gound to the top of an antenna tower. The wire is 15 feet long. The height of the tower is 3ft greater than the distance d from the tower's base to the end of the wire. Find the distance and the height of the tower.

30. ## calculus

A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?

31. ## maths

from a point P on a level ground and directly west of a pole,the angle of elevation from the top of the pole is 045 and from point Q east of the pole the angle of elevation of the pole the angle of elevation of the top of the pole is 068 if /PQ/ is

32. ## mathematics

a man 1.83m tall, stands at a distance of 14.8m away from the base of a tower. He discovers that the angle of elevation of the top of tower is 63. Calculate the height of the tower.

33. ## Math

The angle of elevation of the top of a vertical pole from a height 1.54m above a horizontal ground is 40 degree.the foot of the pole is on the same horizontal ground and the point of observation is 20m from the pole.calculate,correct to 3 s.f (a)the height

34. ## science

Amanda is holding a compass and notices that the north pole of the compass points toward the north pole of the Earth. She is confused because she knows from her science classes that the north poles of two magnets will repel each other. How can she explain

35. ## Geometry

What is the height of a pole standing 20 feet from the base of pole and measure the angle of the elevation to the top of the pole to be 54 degrees what's the height of the pole

36. ## physics

A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of

37. ## Algebra

A pole that is 3.4 m tall cast a shadow that 1.73 m long. At the same time , a nearby tower cast a shadow that is 48.25 m long. How tall is the tower? I can't seem to figure out what to do

38. ## Math

The height(H) of an object that has been dropped or thrown in the air is given by: H(t)=-4.9t^2+vt+h t=time in seconds(s) v=initial velocity in meters per second (m/s) h=initial height in meters(m) H=height h=initial height I didn't make this clear on the

39. ## Math Help (URGENT X10)

This is really urgent so please please please help. The height(H) of an object that has been dropped or thrown in the air is given by: H(t)=-4.9t^2+vt+h t=time in seconds(s) v=initial velocity in meters per second (m/s) h=initial height in meters(m)

40. ## 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

41. ## mathematics

To find the height of a tower, a surveyor positions a transit that is 2 meters tall at a spot 35 meters from the base of the tower. She measures the angle of elevation to the top of the tower to be 37°. What is the height of the tower, to the nearest

42. ## Math

The height(h) of an object that has been dropped or thrown in the air is given by: h(t)=-4.9t^2+vt+h t=time in seconds(s) v=initial velocity in meters per second (m/s) h=initial height in meters(m) A ball is thrown vertically upwardd from the top of the

43. ## math

a flagpole is 25 feet tall. a truck runs into the pole and bends it at the very bottom of the pole but the rest of the pole remains straight. after the accident we measure the angle of elevation to the top of the pole from a point 30 feet from the base of

44. ## 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.

45. ## Math

Miguel is 5 feet 10 inches tall. On a sunny day he casts a shadow 4 feet 2 inches long. At the same time, a nearby electric tower casts a shadow 8 feet 9 inches long. How tall is the tower? How do I set this up into ratios to figure out the tower height?

46. ## trig

Two people decide to estimate the height of a flagpole. One person positions himself due north of the pole and the other person stands due east of the pole. If the two people are the same distance from the pole and a = 30 feet from each other, find the

47. ## Maths

The angle of elevation of the top of a vertical pole from a height 1.5m above a horizontal ground is 40. The foot of the pole is on the same horizontal ground and the point of observation is 20m from pole. Find the height of pole to 3.sp

48. ## Trigonometric

A woman standing on a hill sees a flagpole that she knows is 55 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. Find her distance x from the pole.

49. ## engineering

any help is greatly appreciated. I am so hopeless now. Water tower problem. The pressure in each house is 250 kPa and the average pressure drop is 50kPa. What should the height of the water tower? Height of the water level in the tower. What is the

50. ## calculus

A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?

51. ## Calculus 1

A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole?

52. ## Calculus

A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 45 ft from the base of the pole?

53. ## 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

54. ## algebra

Jenny is 5ft 2in. tall. To find the height of a light pole, she measured her shadow and the pole shadow What is the height of the pole?

55. ## Trig

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

56. ## physics

A visitors to a lighthouse wishes to determine the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is

57. ## Maths

An antenna stands on a pole on the top of a house.If a woman is 70m from the house observes that the angles of elevation of the top and foot of the pole are 63 and 60 resp.,how long is the pole?

58. ## 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

59. ## Calc

A street light is at the top of a 20 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 feet from the base of the pole?

60. ## 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

61. ## Math

A 120m cable TV tower casts a 96m shadow. Find the height of a nearby telephone pole that cast a 16m shadow.

62. ## Maths

Two persons are on opposite sides of a tower. They measure that the angle of elevation of the top of the tower are 30°and 45°respectively. If the height of the tower is 50metres, find the distance between the two persons.

63. ## Math

A pole that is 3.2m tall casts a shadow that is 1.4m long. At the same time, a nearby tower casts a shadow that is 39.5m long. How tall is the tower? Round your answer to the nearest meter.

64. ## math

A 6 ft tall person cast a shadow 15 ft long. At the same time a nearby tower casts a shadow 100 ft long. Find the height of the tower.

65. ## 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

66. ## geometry

A pole that is 2.9 m tall casts a shadow that is 1.02 m long. At the same time, a nearby tower casts a shadow that is 39.75 m long. How tall is the tower

67. ## statistics

suppose we selected a random sample of five woman from our school measure the height of each and calculated the sample mean if we wished to know whether the height of woman at our school is typical of height of women inourtown how should we compare our

68. ## Math

Charlene made the sketch below in order to find the height x of a pole. She positioned a mirror on the ground so that she could see the reflection of the top of the pole. Her height, her distance from the mirror, and her line of sight to the mirror

69. ## word problem

A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the pole.

70. ## Physics/Science #2

A rock is thrown verticaly upward from ground level at time t = 0. At t = 1.65 s it passes the top of a tall tower, and 0.95 s later it reaches its maximum height. What is the height of the tower? height = _______ m First, find the initial velocity from

71. ## trigo

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

72. ## 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

73. ## calc related rates

A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 45 ft from the base of the pole?

74. ## calculus

A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 ft from the base of the pole?

75. ## calculus

A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 ft from the base of the pole

76. ## calculus

A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?

77. ## calculus

A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?

78. ## math

A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?

79. ## calculus

A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole? Rate =

80. ## trig

A woman that is 5'4" stands 15 ft from a streetlight and casts a four-foot long shadow. Determine the height of the streetlight and the degree measure of the angle of elevation form the tip of her shadow to the top of the streetlight, both accurate to two

81. ## calculus

A street light is at the top of a 15 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving (away from the woman) when she is 50 feet from the base of the pole?

82. ## math

the angle of elevation of d top of a vertical pole frm a height of 1.54m above a horizontal ground nd d point of observation is 20m frm d pole. calculate d height of d pole to 3.s.f

83. ## word problems

miguel is 5ft 10 inches tall On a sunny day he casts a shadow of 4ft 2 inches long. At the same time, a nearby electric tower casts a shadow 8ft 9 inches long. How tall is the tower? Please help me set up the equation. Do i use is actual height or his

84. ## Maths

A flay pole is placed at the top of a tower.the angle of elevation of the bottom and top of the flay pole from a point on the ground 10M away and 40 degrees and 50degrees respectively.find the length of the flay pole.

85. ## maths

16. A pole of length 10 m casts a shadow 2 m long on the ground. At the same time a tower casts a shadow of length 50 m on the ground, then find the height of the tower.

86. ## Math

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

87. ## 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...

88. ## 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?

89. ## Calc

A street light is at the top of a 16ft tall pole. A woman 6ft tall walks away from the pole with a speed of 6ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30ft from the base of the pole?

90. ## trigonometry

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

91. ## 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

92. ## Math

A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 ft from the base of the pole? Must be accurate to fifth

93. ## trigonometry

at a point 27 m from the front of a pole, the angle of elevation of the top of the pole is 53. find the height of the pole

94. ## 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

95. ## physics

How will you find the height of a tall tower using a long-enough thread? You only have a stop-watch with you. So you can only measure time and not length. Explain the method by stating the formula you will use to calculate the height of the tower.

96. ## 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

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?

98. ## algebra

Charlene made the sketch below in order to find the height x of a pole. She positioned a mirror on the ground so that she could see the reflection of the top of the pole. Her height, her distance from the mirror, and her line of sight to the mirror

99. ## 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

100. ## Mathematics

Find the height of the tower the radio tower is 350°and the angle of elevation to the top of the tower is 39°