# Use similar triangles to solve. A person who is 6 feet tall is standing 108 feet from the base of a​ tree, and the tree casts a 120 foot shadow. The​ person's shadow is 12 feet in length. What is

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1. ## 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

2. ## Math

Use similar triangle to solve. A person who is 6 feet tall standing 140 feet from the base of a tree and the tree casts a 150 foot shadow. The person's shadow is 10 feet in length. What is the height of the tree?

3. ## Trigonometry

a person standing 400 feet from the base of a mountain measures the angle of elevation from the ground to the top of the mountain to be 25 degrees, the person then walk 500 feet straight back and measures the angle of elevation to now be 20 degrees, how

4. ## GEOMETRY

A PERSON STANDING 30 FEET FROM A FLAGPOLE CAN SEE THE TOP OF THE POLE AT A 35 DEGREE ANGLE OF ELEVATION. THE PERSON'S EYE LEVEL IS 5 FEET FROM THE GROUND. FIND THE HEIGHT OF THE FLAGPOLE TO THE NEAREST FOOT.

5. ## MATH

A person who is 6 feet tall is standing 117 feet from the base of a tree, and the tree casts a 130 foot shadow. The person's shadow is 13 feet in length. What is the height of the tree?

6. ## Calculus

A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. If the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

7. ## calc

a man 6 feet tall is walking away from a lamp post at the rate of 60 feet per minute. when the person is 6 feet from the lamp post, his shadow is 12 feet long. find the rate at which the length of his shadow is increasing when he is 145 feet from the lamp

8. ## Math

A 6-foot person standing 15 feet from a streetlight casts a 15-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the

9. ## Pre Calculus

If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity? A. 0.62 feet per second B. 0.31 feet per second C. 37.68 feet per second D. 3.14 feet per second E. 9.42 feet per second

10. ## math

The ladders shown below are standing against the wall at the same angle. How high up the wall does the longer ladder go? (All measurements are in feet.) ladders 11.25 ft 12.5 ft 14 ft 14 ft 2. The pair of polygons is similar. Find the value of x. polygons

11. ## Math

Use similar triangles to solve. A person who is 6 feet tall is standing 108 feet from the base of a​ tree, and the tree casts a 120 foot shadow. The​ person's shadow is 12 feet in length. What is the height of the​ tree?

12. ## mathematics

a person 5 feet tall casts a shadow 8 feet long. At the same time of day. a lamppost casts a shadow 18 feet long. Using similar triangles and proportions, find the height of the lamp

13. ## Math

A 6-foot person standing 15 feet from a streetlight casts a 10-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the

14. ## algebra

Three boxes are stacked one on top of the other. One box is 2 feet 8 inches tall, one is 4 feet 7 inches tall, and one is 3 feet 11 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches. Please

15. ## Applied Calculus

For the average person that is still growing, the rate of change in weight W (in pounds) with respect to height h (in inches) is approximately dW/dh=0.0015h^2 pounds per inch. Suppose that the average person that is 60 inches tall weighs 108 pounds. Find

16. ## Inverse Functions

A surveyor is standing 550 feet from the base of a redwood tree in the California Redwood Forest. The tree is 362 feet tall. Sketch a drawing that models the situation and then find the angle of elevation of the top of the tree from the spot where the

17. ## Geography

A flagpole casts a shadow 27 feet long. At the same time of day, a person standing nearby casts a shadow of 8 feet long. If the person is 6 feet tall, how tall is the flagpole?

18. ## math

a man standing on ground level is 1000 feet away from the base of a 350 feet tall building. Find,to the nearest degree,the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing? How do you solve

19. ## Math Urgent help please

A lamppost casts a shadow of a man who is standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall. (Points : 2)

20. ## math

A flagpole casts a 32-ft shadow. A boy who is 6 feet tall is standing near the flagpole casting a 16-ft shadow. They form similar triangles. How tall is the flagpole?

21. ## 9th grade

A flagpole casts a shadow 27 feet long. A person standing nearby nearly casts a shadow 8 feet long. If the person is 6 feet tall, how tall is the flagpole

22. ## Physics

What is the difference in blood pressure (mm−Hg) between the top of the head and bottom of the feet of a 1.82m tall person standing vertically?

23. ## flag pole, math, geometry, urgent

A palm tree that is 32 feet tall, casts a shadow that is 26 feet long. Matt is 6 feet tall and standing near the palm tree. Use the figure above to determine the length of Matt’s shadow. Round to the nearest tenth.

24. ## Algebra 2

A lamppost casts a shadow that is 24 feet long. Tad, who is 6 feet tall, is standing directly next to the lamppost. his shadow is 15 feet long. How tall is the lamppost?

25. ## math

Use similar triangles to solve. A person who is 5 feet tall is standing 117 feet from the base of a​ tree, and the tree casts a 130 foot shadow. The​ person's shadow is 13 feet in length. What is the height of the​ tree?

26. ## math

Pete is standing 2 feet away from a mirror on the ground. Pete is 5 feet tall and can just see the top of the tree in the mirror from where he is standing. The two triangles formed in the picture above are similar. If the mirror is 12 feet away from the

27. ## Geometry

A person who is 5 feet, 6 inches (5.6 feet) tall casts a shadow (from N to S) that is 12 feet long. The distance along the ground from the person (N) to the flagpole (G) is 18 feet. Find the height of the flagpole (FG) showing all calculations.

28. ## ymous

You're standing 14 feet from the edge of a cylindrical water tank and is 26 feet from the point of tangency. the tank is 10 feet tall. what is the volume in cubic feet

29. ## Trig/Precalc

a lamp post that is 8 feet high casts a shadow 5 feet long. how tall is the person standing beside the lamp post if his shadow is 3.5 feet long

30. ## Math

a man is standing 30 feet away from a street light. He is casting a shadow that is 10 feet long and he is 4 feet tall. What is the height of the street light? Plz help me

31. ## Math

A person who is 5 feet tall is standing at 110 feet from the base of the tree and the tree cast a shadow of 120 feet the person shadows 10 feet in length was the height of the tree?

32. ## FLAGPOLE MATH!

It's Me Again, Karen is standing near a flagpole that is 12 feet tall. Karen is 5 feet tall, and the length of her shadow is 4 feet, as shown. What is the length in feet of the flagpole's shadow? PLZ HELP!

33. ## trig

a 6 foot tall man is standing near a tree on level ground .if the man shadow 4 feet long .how many feet tall is the tree?

34. ## Math

A 6-foot-tall man is standing in front of a school and notices his shadow measures 10 feet. At the same time, he notices a nearby flagpole casts a shadow that measures 85 feet. How tall is the flagpole? 100 feet 127 feet 14.17 feet 51 feet

35. ## math

on a sunny day a tree casts a shadow that is 146 feet long. at the same time a person who is 5.6 feet tall standing beside the tree casts a shadow that is 11.2 feet long. how tall is the tree?

36. ## College Algebra

If a person is 66 inches tall is standing 15 feet away from a streetlight. If the person casts a shadow 84 inches long, how tall is the streetlight?

37. ## College Algebra

A person who is 6 feet tall walks away from a flagpole toward the tip of the shadow of the flagpole. When the person is 32 feet from the flagpole, the tips of the person's shadow and the shadow cast by the flagpole coincide at a point 4 feet in front of

38. ## math

At a given time, the height of an object is directly proportional to the length of the shadow that is cast on the ground. A person 6 feet tall casts a shadow 1 foot long at noon. a) What is the length of the shadow cast by a flagpole known to be 20 feet

39. ## Math

a person who is 6 feet tall is standing 108 feet from the base of the tree, and the tree cast a 120 foot shadow . The person's shadow is 12 feet in length that is the height of the tree

40. ## geometry

A person who is 5 feet, 6 inches (5.5 feet) tall casts a shadow (from N to S) that is 12 feet long. The distance along the ground from the person (N) to the flagpole (G) is 18 feet. Find the height of the flagpole (FG) showing all calculations. What is the

41. ## ela

Which is the best paraphrase of these lines from "Grandma Ling"? and there I faced my five foot height, sturdy legs and feet, (1 point) And there I saw someone the same height as me, with strong legs and feet. And there I stood as tall as I could on strong

42. ## geometry

a tree is standing upright.i want to cut it down at the base.how would i find out how tall it is. so that i could fall it without hitting any buildings.ie if it is 80 feet tall it should fall 80 feet?

43. ## math

George has been hired to paint the smith's house. He needs to be sure his ladder will reach the highest part of the house, so he decides to use the shadow method. The measuring stick is 3 ft., and shadow is 5 feet. The shadow of the house is 45 feet. The

44. ## physics

A person is standing 100 feet from a tall cliff. She throws a rock 80 feet per second at an angle of 45 degrees. Neglecting air resistance and assuming the person is 6 feet tall, does the rock strike the cliff? If so, how far up the cliff does it hit?

45. ## Physics

You are standing 7 feet from one speaker and 10 feet from another. Both speakers are producing the same sound. If the combined sound from both speakers is barely audible at your location, which of the following could be the wavelength of the sound? Choose

46. ## Math

Jacob stands 4.5 feet tall and casts a 2.7 foot shadow. A. Using this relationship, determine how tall Jacob's house is if the house's shadow measures 19.2 feet. Assume the triangles are similar. B. Explain the concept of indirect measurement and how it is

47. ## Mathsw

A man 6 feet tall is standing 9 feet from a 18 feet tall light pole. His shadow cast 15 degree. What is the angle formed from this equation?

48. ## Geometry/Math

Judy lies on the ground 45 feet from her tent. Both the top of the tent and the top of a tall cliff are in her line of sight Her tent is 10 feet tall. About how is the cliff? Assume the two triangles are similar. Postscript: The distance from the tent to

49. ## Geometry

Wilma, a 3-foot-tall child, is standing 6 feet from a lamp post. The lamp post is casting Wilma’s shadow, which is 7 feet long a) On your separate sheet of paper, draw a diagram to illustrate the situation including labels. b) Explain why the triangles

50. ## Calculus

A 6 feet tall man walks away from a streetlight that is 15 feet high at a rate of 5 ft/s. Express the length 's' of his shadow as a function of time. What I have so far: I set up a triangle and used similar triangles to create a ratio (6/s) = (s/d+s) s =

51. ## math

I have a flagpole 30 feet tall amirror 10 feet from pole and someone standing 2 feet from mirror how tall are they

52. ## physics

You are standing 7 feet from one speaker and 13 feet from another. Both speakers are producing the same sound. If the combined sound from both speakers is especially loud at your location, which of the following could be the wavelength of the sound? Choose

53. ## Physics

You are standing 7 feet from one speaker and 10 feet from another. Both speakers are producing the same sound. If the combined sound from both speakers is barely audible at your location, which of the following could be the wavelength of the sound? Choose

54. ## Math

Will is five feet tall. He casts a 3 feet shadow at the same time that a tree casts a 9 feet shadow. Use similar triangles to find the height of the tree.

55. ## Math

kory is standing near a building that has a shadow that is 14 feet long. Kris is 5.5 feet tall, and the length of her shadow is 3.5 feet. set up and solve a proportion to determine the height of the building.

56. ## Descriptive Physics

You are standing 5 feet from one speaker and 14 feet from another. Both speakers are producing the same sound. If the combined sound from both speakers is especially loud at your location, which of the following could be the wavelength of the sound? Choose

57. ## math

If a person standing 5 feet tall casts a shadow 12 feet long, then how long is a tree's shadow if a tree stands 17.5 feet tall?

58. ## math

If a person standing 5 feet tall casts a shadow 12 feet long, then how long is a tree's shadow if a tree stands 17.5 feet tall?

59. ## Math

A person 6 feet tall walks around the earth. How many feet farther does the top of this person's head travel than the bottom of his feet? Express your answer in terms of Pi.

60. ## math 7+

Trevor's sister is 1/8 the height of a 40-foot dinosaur. She is A. 6 feet tall B. 5.5 feet tall C. 5.3 feet tall D. 5 feet tall So that is my homework question i don't understand how to make a propotion to answer the question.

61. ## algebra

You are standing 14 feet from the edge of a cylindrical water tank and 26 feet from a point of tangency. The tank is 10 feet tall. What is the volume of the tank in cubic feet?

62. ## Geometry

A 3ft tall child is standing 9 feet from a lamp post. The lamp post is casting the childs shadow which is 8ft long. Find the height of the lamp post and draw a diagram and illustrate the situation. Explain why the triangles are similar

63. ## Language Arts

Which is the best paraphrase of these lines from "Grandma Ling"? and there I faced My five foot height, sturdy legs and feet, A. And there I saw someone the same height as me, with strong legs and feet. B. And there I stood as tall as I could on strong

64. ## Math

A strees light L hangs H feet above a flat straight street. A person h feet tall at point O directly under the street light at time t=0 seconds, moves in a straight line along the street a v feet/second. If H=20 feet, h=6 feet, and v=4 miles per hour, find

65. ## Math

The land area of Statesville, NC, is 20.5 square miles. If the entire US population (currently about 320.2 million) were put inside the city limits of Statesville, determine the number of square feet that each person would have. Round your answer to two

66. ## maths

Let the bottom edge of a rectangular mirror on a vertical wall be parallel to and h feet above the level floor. If a person with eyes t feet above the floor is standing direct at a distance d feet from the mirror, what is the relationship among h,d and t

67. ## Math

A 6-foot person standing 15 feet from a streetlight casts a 15-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the

68. ## math

According to the center of Science in the Public Interest, the maximum healthy weight for a person who is 5 feet, 5 inches is 150 pounds and the maximum healthy weight for a person 6 feet, 3 inches tall is 200 pounds. The relationship between weight and

69. ## Math

A man 6 feet tall is standing 4 feet away from a 20 foot lamppost. How long is the lampposts shadow?

70. ## Geometry

A tree casts a shadow that is 70 feet long. At the same time a person is standing nearby who is 5 feet 6 inches tall and their shadpw os 60 inches long. What is the proportion and what is the height of the tree?

71. ## math

Using the shadow method, Norman finds the height of a tree as follows: He measures the shadow of the measuring stick (4ft) and the tree (20ft). He then uses similar triangles to find the tree's height. If the measuring stick is 3 feet long, how tall is the

72. ## Math

Sarah is standing next to the flag pole waiting for her friends. The flagpole is 42.9 feet tall and casting a shadow of 253.1 feet long. There a sign by the flagpole challenging visitors to find the length of their shadows. Sarah is 5.4 feet tall. What is

73. ## Math

A lamppost is 20 feet tall and a man is standing 30 feet away casting a 10 foot shadow. How tall is the man?

74. ## Math

Standing 8 feet from a puddle of water on the ground Gretchen whose eye height is 5 feet 2 inches, can see the reflection of the top of a flagpole. The puddle is 20 feet from the flagople. How tall is the flagpole

75. ## algebra

Use the formula d = 1.22ãx to estimate how many miles a 5-foot-tall person can see standing on the deck of a ship that is 50 feet above the ocean.

76. ## Math

Mark wanted to measure the height of a nearby building. He placed a mirror on the pavement at point P, 80 feet from the base of the building. He then backed away until he saw an image on the top of the building in the mirror. If Mark is 6 feet tall, and he

77. ## STATISTICS

Can someone please tell me how to solve this problem? A buyer for a lumber company must determine wheter to buy a piece of land containing 50,000 trees. if 2000 tress are at least 48 feet tall she will purchase the land; otherwise she will not. the owner

78. ## Physics

What is the difference in blood pressure (mm−Hg) between the top of the head and bottom of the feet of a 1.88m tall person standing vertically?

79. ## Physics

What is the difference in blood pressure (mm-Hg) between the top of the head and bottom of the feet of a 1.008 m-tall person standing vertically?

80. ## College Algebra

A person who is 6 feet tall walks away from flagpole toward the tip of the shadow of the flagpole. When the person is 30 feet from the flagpole, the tips of the person's shadow and the shadow cast by the flagpole coincide at a point 5 feet in front of the

81. ## math

The shadow of a 5-foot tall post is 10 feet long. At the same time a tree casts a shadow that is 24 feet long. What is the height of the tree? A. 2 feet B.14 feet C. 12 feet D. There is not enough information to solve the problem

82. ## Geometry

A six-feet tall person wants to know the height of a tree. The person stands 20 feet from the tree and sights to the top of the tree. The angle of the sight line is 30 degrees. How tall is the tree?

83. ## Math

Two similar triangles have perimeters of 12 feet and 36 feet, respectively. If the area of the smaller triangle is 6 square feet, what is the area of the larger triangle?

84. ## Math

A tree is 36 feet tall and is located 9 feet from a mirror on the ground. If eye level height of person is 4.8 feet, then how far away are they from the mirror?

85. ## math

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shadow be if they are 4 feet tall? Please help ASAP!!! :(

86. ## math

A person 6 feet tall walks at a rate of 150 feet per minute toward a light tower whose searchlight is located 40 feet above the ground. Find the rate that the length of the shadow is changing.

87. ## math

Pete is standing 2 feet away from a mirror on the ground. Pete is 5 feet tall and can just see the top of the tree in the mirror from where he is standing. The mirror is 8 feet away from the base of the tree. how tall is the tree?

88. ## Algebra

Three boxes are stacked one on top of the other. One box is 4 feet 4 inches tall, one is 3 feet 10 inches tall, and one is 3 feet 11 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.

89. ## math

A ladder 29 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. When the firefighter has climbed up 6 feet of the ladder,

90. ## Math

A ball is kicked off the top of a cliff that is 30 feet tall at an angle of 45° to the horizontal with an initial velocity of 25 feet per second. The quadratic equation shown below models the height, h(x), of the ball when it is x feet from the cliff’s

91. ## math

A 6-foot person standing 15 feet from a streetlight casts a 15-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the

92. ## Physics

a ball is thrown upwards from a tower standing 300 feet tall. the initial velocity of the ball is 32 feet/second. the negative acceleration of the ball due to gravity is -16 in terms of feet per second squared. What is the velocity of the ball after 1

93. ## Math.. help.

A bungee jumper leaps from the top of a building that is 420 feet tall and falls at an average rate of 95 feet per second. at the time of the jump, the elevator is at a height of 130 feet and rising at a rate of 3.6 feet per second. about how many seconds

94. ## math

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along the walkway past the

95. ## math

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along the walkway past the

96. ## math

amy is 5 feet tall shes standing 12 feet from a street light if amy's shawdow is 4 feet long which porportion could be used to find the height of the street light

97. ## Math

Plz help lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and solve a proportion to determine how many gallons lisa will need.

98. ## math algebra

A 6.5 foot tall truck standing next to an elephant casts a 32.5 feet shadow. If the elephant casts a shadow that is 51.5 feet long, then how tall is the elephant? feet

99. ## Math

You are ﬁ ve feet tall and cast a seven-foot eight-inch shadow. At the same time, a basketball hoop casts a 19-foot shadow. How tall is the basketball hoop? Assume the triangles are similar.

100. ## Math

If Micheal Jordan when standing with his arms straight up in the air, is 7 feet 8 inches tall ; how many inches would he have to jump to touch the basketball rim that is 10 feet high above the floor?