# A cable 22 feet long runs from the top of a utility pole to a point on the ground 15 feet from the base of the pole. How tall is the utility pole? - thanks!

70,863 results
1. ## algebra

Two vertical poles 20m and 30m high are 60m apart.A rope is to be attached from the top of one pole to a point on the ground halfway between the poles and then to the top of the other pole.How long a rope is needed?

2. ## 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

3. ## geometry

Two vertical poles 20 meterd and 30 metrrd high, are 60 meters apart. A rope is to be attached from the top of one pole to a point on the ground half-way between the poles and then to the top of other pole. How long a rope is needed?

4. ## Trigonometry

A vertical pole 40 feet tall stands on a hillside that makes an angle of 17 degrees with the horizontal. Approximate the minimum length of cable that will reach the top of the pole from a point on the hillside 72 feet downhill from the base of the

5. ## math

The center pole of a tent is 8 feet long. the side of the tent is 12 feet long. If a right angle is formed where the center pole meets the ground, what is the measure of angle a.(there is a pic, the 8ft line is the center pole going down, this forms the

6. ## 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

7. ## Trigonometry

A vertical pole 35m high, standing on sloping ground is braced by a wire which extends from the top of the pole to a point on the ground 25 m from the foot of the pole. If the pole subtends an angle of 30 degrees at the point where the wire reaches the

8. ## Math

A telephone pole is secured with two cables. The first cable is attached to the top of the pole and makes an angle of 70° with the ground. The cable is secured to the ground 8 m from the bottom of the pole. The second cable is attached to the top of the

9. ## Math

1. Estimate The Value Of (Square Root 52) to the nearest whole number A. 9 B. 8 C. 7~~~ D. 6 2. Identify all the sets to which the number 3.1214122144 Belongs A. Rational B. Irrational~~~ C. integer, Rational D. Whole Number, integer, rational 3. Which Of

10. ## Math

The cable supporting a ski lift rises 2 feet for each 5 feet of horizontal length. The top of the cable is fastened 1320 feet above the cable’s lowest point. Find the lengths b and c, and find the measure of the angle theta.

11. ## geometry

A cable 22 feet long runs from the top of a utility pole to a point on the ground 15 feet from the base of the pole. How tall is the utility pole? - thanks!

12. ## Math

A telephone pole anchored to the ground by a cable called guy wire at a point of 5m from the base of the pole. The wire make an angle of 72.5 with the horizontal. What is the height of the pole where the guy wire is attached to the pole?

13. ## geometry

a 20 meter long cable is used to support a telephone pole holding it perpendicular to the ground. If the cable forms a 60grados angle with the ground how long mhigh up the pole should the cable be attached?

14. ## 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

15. ## Angles of elevation and depression

The teet of two vertical poles of height 3m and 7m are in line with a point P on the ground. The smaller pole being between the taller pole and P and at distance of 20m from P the angle of elevation of the top T of the taller pole from the top R of the

16. ## Physics

A stone dropped from certain point crosses the top and bottom ends of a vertical pole of length 20m in one second the distance of top of the pole from the initial point of release will be (g=10) Ans:11.25m

17. ## Geometry

A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground. If the cable forms a 60 degree angle with the ground, how high up the pole should the cable be attached?

18. ## Math

A cable 16 m long runs from the top of a utility pole to a point on the ground 4 m from the base of the pole how tall is the utility pole to the nearest tenth A. 15.5 m** B. 16.5 m C. 256 m D. 16 m

19. ## Algebra

Scott set up a volleyball net in his backyard. one of the poles, which forms a right angle with the ground, is 6 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 8 feet from the bottom of the pole. To the nearest tenth

20. ## 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.

21. ## University math grade 11 Trig

A very tall light standard is swaying in an east-west direction in a strong wind. An observer notes that the time difference between the vertical position and the furthest point of sway was 2 seconds. The pole is 40 metres tall. At the furthest point of

22. ## Calculus

An island is 3 mi from the nearest point on a straight​ shoreline; that point is 6 mi from a power station​. A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power

23. ## Math

The feet of two vertical poles of heights 3m and 7m are in line with a point P on the ground the smaller pole being between the taller pole and at a distance 20m from P.The angle of elevation of the top . T of the taller pole from the top R of the smaller

24. ## algerba

A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 7 feet from the tent. If the guy rope is 11 feet long, how long is the tent pole? Round to one decimal place as needed.

25. ## Geometry

A telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 3 meters from its base. When Leah walks 2.5 meters from the base of the pole toward the point where the cable is attached to the ground, her head

26. ## geometry

how long is a string reaching from the top of a 20 ft pole to a point 13 ft from the bottom of the pole?

27. ## math

A cable 20 feet long connects the top of a flagpole to apoint on the ground that is 16 feet from the base of the pole.how tall is the flagpole? (A) 26ft (B) 10ft (C)12ft (D)8ft..

28. ## maths

Two vertical poles, 3m and 7m long are on the same straight line with a point P on the ground. The shorter pole is 20m from P and the longer pole. The angle of elevation of the top T of the longer pole from the top R of the shorter one is 30degree,

29. ## trig

A 52-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The

30. ## GEOMETRY

1.) Estimate the value of √ 52 to the nearest whole number: A. 9 B. 8 C. 7*** D. 6 2.) Identify all sets to which the number 3.1214122144...belongs A. rational number B. irrational number*** C. integer, rational number D. whole number, integer,

31. ## maths

a rope 10m long from the top of a vertical pole to a point on the ground makes an angle of 23 degrees with the pole. how high is the pole?

32. ## algebra

A cable 25 feet long runs from the top of a utility pole to a point on the ground 18 feet from the base of the pole. How tall is the utility pole?

33. ## college

a guy wire 27 feet long runs from the top of the pole to a spot on the ground. I f the height of the pole is 6 feet longer than the from the base of the pole to the spot where the guy wire is anchored, how tall is the pole?

34. ## calcules

A company wishes to run a utility cable from point A on the shore to an installation at point B on the island. The island is 6 miles from the shore. It costs \$400 per mile to run the cable on land and \$500 per mile underwater. Assume that the cable starts

35. ## geometry

A guy wire is used to stabilize a utility pole. The wire is fastened to the pole 25 feet above the ground, and staked into the ground 4 feet from the base of the pole. (No stand-offs are used, the wire goes directly from the pole to the ground stake.)

36. ## Algebra II

A hill is inclined 15 degrees to the horizontal. A 40-foot pole stands at the top of the hill. How long a rope will it take to reach from the top of the pole to a point 68 feet downhill from the base of the pole?

37. ## math

The cable supporting a ski lift rises 2 feet for each 5 feet of horizontal length. The top of the cable is fastened 1320 feet above the cable’s lowest point. Find the lengths b and c, and find the measure of the angle theta. 1320 is not the hypotenuse.

38. ## trig

a vertical pole 35 feet high, standing on sloping ground, is braced by a wire which extends from the top of the pole to a point on the ground 25 feet from the foot of the pole. If the pole subtends an angle of 30 degree at the point where the wire reaches

39. ## Calculus

A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x)=10+(0.4)(x^1.5). The cable weighs

40. ## math

A utility line runs underground through Shayne’s rectangular backyard. Shayne is not allowed to dig within 3 feet of the utility line. The diagram below shows the dimensions of Shayne’s backyard in feet. The dashed line represents the utility line.What

41. ## Math

A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?

42. ## Pre-Calculus-Trig

A 40 foot high flagpole sits on the side of a hill. The hillside makes a 17 degree angle with horizontal. How long is a wire that runs from the top of the pole to a point 72 feet downhill from the base of the pole?

43. ## Thinking Mathematically - Geometry

A flagpole has a height of 16 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole. Find the

44. ## Math: Thinking Mathematically

A flagpole has the height of 16 yards It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole and attached to the ground at point that is 9 yards from the base of the pole, Find the total

45. ## 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

46. ## Physics

A mas of 100 Kg hangs from a cable secured to a steel pole and supported by another cable as shown below. Find the tension (T) in the support cable and the force (F) on the steel pole.

47. ## algebra

a support wire 12 yardslong is attached to the top of a utility pole 10yards tall and is then stretched out. to the earest tenth of a yard,find how far from the base of the pole wire will beattached to the ground-breaking

48. ## mathematics

The diagram below shows a telephone pole outside of Roger's house. The pole is 20 feet high and the cable between the pole and the ground is 25 feet. What is the distance between the stake, which is holding the cable in the ground, and the base of the

49. ## algebra

GUY WIRE. How long is a guy wire reaching from the top of a 15ft. pole to a point on the ground 10 feet from the pole? exact length in feet. length in three decimal places in feet.

50. ## calculus

a suspenion bridge is in a shape of a parabola and has a length of 3000 feet between the uprights. the roadbed is 50 feet above the river and the lowest point of the curved cable is 25 feet above the road. if the height is 450 feet, how long is the

51. ## trig

A pole is braced with a wire from the top of a pole to the ground. The wire is 100 feet long and makes an angle of 40° with the ground. Find the height of the pole.

52. ## algerbra

A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 7 feet from the tent. If the guy rope is 11 feet long, how long is the tent pole? Round to one decimal place as needed.

53. ## Simple Math

Please explain to me what I need to do . A cable 35 feet long runs from the top of a utility pole to a point on the ground 30 feet from the base of the pole. How tall is the utility pole ?

54. ## 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

55. ## Algebra II

A hill is inclined 15 degrees to the horizontal. A 40-foot pole stands at the top of the hill. How long a rope will it take to reach from the top of the pole to a point 68 feet downhill from the base of the pole?

56. ## Calculus

Can someone show how to solve this problem Two vertical towers of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched from the top of one pole to some point on the ground between the poles, and then to

57. ## trigonometry

A tent pole is 85 feet high. A cable is attached to the ground 200 feet from the tower base. How long is the cable? What is the measure of the angle the cable makes to the ground?

58. ## Trig

A guy wire attached to the top of an electric pole makes a 70deg angle with the level ground. At a point 25 feet from the guy wire (farther away from the pole), the angel of elevation to the top of the pole is 42deg. How long is the guy wire?

59. ## Trig

A guy wire attached to the top of an electric pole makes a 700 angle with the level ground. At a point 25 feet from the guy wire (farther away from the pole), the angel of elevation to the top of the pole is 420. How long is the guy wire?

60. ## calculus

A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x) = 10+(0.1)*(x^1.5). The cable

61. ## 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.

62. ## Math

In a circus a tightrope is stretched from the top of a 10 ft. pole to the top of a 25 ft pole. The poles are 36 feet apart and vertical. How long is the tightrope? Show your work.

63. ## Math

A guy wire is attached to the top of a pole. The other end of the guy wire is staked in the ground 29 feet from the base of the pole. How tall is the pole, if the guy wire is 73 feet long? Round to the nearest tenth.

64. ## algebra

Can someone please help me??? A line from the top of a cliff to the ground passes just over the top of a pole 6.0 feet high and meets the ground at a point 7.0 feet from the base of the pole. If the point is 99 feet from the base of the cliff, how high is

65. ## algebra 1

A telephone pole stands exactly in the middle between two houses. The houses are 72 feet apart. If a wire is stretched from the top of the pole to the base of the house, its length is 39 feet. A. What is the distance of the pole from each house? 72/2= 36

66. ## college

The angle of elevation from point A to the top of a vertical pole is 30.0 degrees. At point B, 6 meters closer to the base of the pole and on a line through the base of the pole and point A, the angle of elevation to the top of the pole is 37.0 degrees.

67. ## math

A street light is at the top of a 11 ft. tall pole. A man 6.2 ft tall walks away from the pole with a speed of 4.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 31 feet from the pole?

68. ## Calculus

A street light is at the top of a 14.5 ft. tall pole. A man 5.3 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

69. ## math

How long must a guywire be to run from the top of a 16-ft pole to a point on the ground 6ft from the base of the pole? Goodness. Use the Pyth theorm on this.

70. ## geometry

a rope 10m long from the top of a vertical pole to a point on the ground makes an angle of 23 degrees with the pole how high is it?

71. ## Math

At the same time of day a cable pole and a yard stick cast shadows of 20 ft. and 4 ft. persfectively as shown in the diargram below. if the angle of elevation of the sun is the same for both the cable pole and the yard stick determine the height od the

72. ## 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?

73. ## math

a 5ft pole is situated on top of a building. a 25ft pole extends from the top of the pole to a point on the ground creating a 26 degree angle. find the height of the building. please help me work this problem

Please check these answers thanks. 1. The shadow of a vertical pole is 24.8 feet long when the angle of elevation of the sun is 42degrees 0.0'. Find the height of the pole. Answer: 22.3=height 2. From a point on a lighthouse 108 feet above water, the angle

75. ## Algebra

A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 7 feet from the tent. If the guy rope is 11 feet​ long, how long is the tent​ pole? (Round to one decimal place as needed)

76. ## Math Help!!!

Russell Grossman is training for the Olympics. He wants to know the distance across lake royal, so he can write in his training logbook how far he rows each day. If from one point on the shore to one side of the lake is 13 km and from the same point to

77. ## Geometry

Michael is standing in the middle of a playground at night looking at the American flag at the top of the flag pole. If he knows he is 50 feet away from the base of the flag pole and his father told him the pole is 100 feet tall, what is the angle that

78. ## Algebra 1

a girl that was 4 and a half feet tall was standing next to a telephone pole. at one 'o clock, her shadow was 8 ft. long, and the pole's was (i think) 36 ft. long, how tall was the pole? this is from memory, since i forgot to bring the paper home. but i

79. ## Geometry

A streetlight is mounted on top of a 15 ft. pole. A 6-ft tal man walks away from the pole along straight path. How long is his shadow when he is 40 ft from the pole?

80. ## 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

81. ## math

a telephone pole is 64 feet long and 5/16 of the pole must be underground a) what fraction of the pole is above ground

82. ## Math! Helppppp

Two poles are place 15 feet apart. One pole is 8 ft high and the other pole is 16 ft high. The top of each pole is attached to the base of the other by cable which run in a straight line. -Find the slopes of the lines defined by the two ropes. -How high

83. ## Thinking Mathematically

solve A Flag Pole Has A Height Of 16 Yards. It Will Be Supported By Three Cables, Each Of Which Is Attached To The Flagpole At A Point 4 Yards Below The Top Of The Pole And Attached To The Ground At A Pole. Find the total number of feet of cable that will

84. ## Algebra

A tree is 38.5 feet tall casts a shadow that is 9 feet 4 inches long.A utility pole beside the tree casts a shadow that is sixty-four inches long.Find the height of the utility pole. Show work

85. ## calcules

A company wishes to run a utility cable from point A on the shore to an installation at point B on the island. The island is 6 miles from the shore. It please explain it for me step by step without link it to a similar question: costs \$400 per mile to run

86. ## Pre Algebra

a wire is stretched from the top of a 26-foot pole to a point on the ground that is 15 feet from the bottom of the pole. Approximately how long is the wire in feet? 16 21 30 37

87. ## math (algebra)

An auto dealer wants to string a wire from the top of a pole to the ground and hang colorful pennants from it. The distance from the base of the pole to the point where the wire is attached to the ground is 3 times the height of the pole. If the wire is 63

88. ## IT

If I have a steel cable pulling 5 degrees from straight down by 1500lbs. This cable goes up to the top of a 10 foot pole and is attached. Then I have a cable going out 20 feet in the opposite direction back to the ground. How many lbs. of force will be

89. ## geometry

A flagpole has a height of 10 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top and attached to the ground at a point that is 8 yards from the base of the pole. Find the total number of

90. ## Trigonometry

how long is the cable that supports a 10m. high antenna if the cable is connected at the middle of the pole of the antenna and at the ground 6m. away from the base of the pole?

91. ## 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.

92. ## Math

Two poles are 20 feet tall and 30 feet tall, respectively. If they are 30 feet apart, how far is it from the top of one pole to the top of the other pole? Round your answer to the nearest tenth of a foot.

93. ## algebra

A flagpole has a height of 6565 yards. It will be supported by three​ cables, each of which is attached to the flagpole at a point 55 yards below the top of the pole and attached to the ground at a point that is 3232 yards from the base of the pole. Find

94. ## math

A street light is at the top of a 16.0 ft. tall pole. A man 5.9 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

95. ## Related Rates

A street light is at the top of a 10.5 ft. tall pole. A man 5.4 ft tall walks away from the pole with a speed of 3.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

96. ## math

A street light is mounted at the top of a 19-ft-tall pole. A man 5.5 feet tall walks away from the pole with a speed of 14 ft/s along a straight path. How fast is the tip of his shadow moving when he is 100 feet from the pole?

97. ## 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

98. ## math

A point P is 500m from the base of a pole. If the angle of elevation of the top of the pole to the point P is 40 degrees, find the height of the pole

99. ## calculus

A street light is at the top of a 15.000 ft. tall pole. A man 6.300 ft tall walks away from the pole with a speed of 6.000 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 45.000 feet from the pole?

100. ## 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.