# a 20 foot ladder leaning against a building makes and angle of 60 degrees with the ground. How far from the base of the building is the foot of the ladder?

40,027 questions
1. ## math

a 20 foot ladder leaning against a building makes and angle of 60 degrees with the ground. How far from the base of the building is the foot of the ladder?

asked by sara on May 1, 2011
2. ## math

A 35-foot long ladder is leaning against the wall of a building.How far from the ground is the top of the ladder and how far from the base of the building is its foot if it makes a 20 degrees angle with the wall?

asked by NIRVANA RIZA A. GARON on March 10, 2012
3. ## math

A 35-foot long ladder is leaning against the wall of a building.How far from the ground is the top of the ladder and how far from the base of the building is its foot if it makes a 20 degrees angle with the wall?

asked by nestor v. reye,Jr. on March 10, 2012
4. ## Algebra/Trig

To ensure safety, the recommended angle that a ladder leaning against a building makes with the ground is 75 degrees. Will a 12 foot ladder reach a window 10 feet above the ground if it leans against the building with this angle? Use trigonometry to

asked by Tony on May 8, 2017
5. ## Math

A 21-foot ladder is leaning against a building. The base of the ladder is 7 feet from the base of the building. To the nearest degree, what is the measure of the angle that the ladder makes with the ground? (Hint: Sketch the problem before solving.)

asked by TeeKay on October 3, 2014
6. ## Geometry

A 12-foot ladder is leaning against the outside wall of a building. The angle of the ladder with the ground is 75 degrees. The ladder is moved so that the base of the ladder is 5.8 feet from the wall. Determine the angle created by the ladder and the

asked by Carl on December 8, 2017
7. ## Trigonometry

A ladder leaning against a building makes a 40 degree angle with the ground. The top of the ladder reaches 10 feet above the ground. How tall is the ladder to the nearest whole foot?

asked by Jessica on April 23, 2012
8. ## Clac- math

a 20 foot ladder leaning up against a vertical wall begins to slip. the base of the ladder makes an acute angle with the floor. when the angle equals 60 degrees the angle is decreasing at 0.1 radians/second. find the rate at which the height of th upper

asked by Nikki on March 1, 2012
9. ## Math

1) A ladder that is 15m long is leaning up against a building. The ladder makes an angle of 30 degrees with the ground. a) Find an exact expression for the height at which the top of the ladder contacts the wall of the building. 2) A tree is anchored by a

asked by Jessica on November 22, 2016
10. ## Geometry

A ladder leaning against a house makes an angle of 60 degrees. The foot of the ladder is 7 feet from the house. How long is the ladder and what would the situtaion look like as a right triangle?

asked by Skylar on December 12, 2017
11. ## Geometry

A ladder leaning against a house makes an angle of 60 degrees with the ground. The foot of the ladder is 7 ft from the house. How long is the ladder?

asked by Evra on February 9, 2014
12. ## trigonometry

A 10 meter ladder is leaning against the side of a building. If the bottom of the ladder is 3 meters from the bottom of the building, find the measure of the acute angle that the ladder makes with the building.

asked by jonel on January 8, 2015
13. ## Geometry

A 10 ft. ladder is leaning against a building and makes an angle of 65 degrees with the ground. How high above the ground is the top of the ladder?

asked by Randi on April 19, 2011
14. ## Geometry

Can some one PLEASE help me figure out how to solve this. Just a formula or hint would be helpful. Thank you!! A 10 ft. ladder is leaning against a building and makes an angle of 65 degrees with the ground. How high above the ground is the top of the

asked by Anonymous on April 20, 2011
15. ## geometry

A 6-foot ladder touches the side of a building at a point 5 feet above the ground. At what height would a 15-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder?

asked by Angie on January 14, 2010
16. ## Calculus

a 16 foot ladder is leaning against a building. the bottom of the ladder os sliding along the pavement at 3 ft/s How fast is the top of the ladder moving down when the foot of the ladder is 2 ft from the wall

asked by Lost student on March 12, 2011
17. ## Calculus

An 18 meter ladder leaning against a building makes a 70 angle with ground. How far up the building does the ladder touch?

asked by Joana on November 19, 2016
18. ## Calculus

A 24 foot ladder is leaning against a building. Let x be the distance between the bottom of the ladder and the building and let theta be the angle between the ladder and the ground. a)Express theta as a function of x. cos theta = x/24 theta = arccos(x/24)

asked by CMM on March 23, 2011
19. ## geometry

a 30 foot ladder leaning against a vertical wall makes an angle of 81 degrees with the ground how far from the base of the pole is the surveyor?

asked by taylor on May 20, 2014
20. ## Calculus II

A 24 foot ladder is leaning against a building. Let x be the distance between the bottom of the ladder abd the building and let theta be the angle between the ladder and the ground. Suppose the bottom of the ladder is sliding away from the wall at a rate

asked by Lynn on March 18, 2012
21. ## Pre-Cal

A 13-ft ladder leans against a building so that the angle between the ground and the ladder is 63 degrees. How high does the ladder reach on the building? (round your answer to the nearest foot)

asked by Jennifer on June 15, 2016
22. ## Calculus

a 14 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 feet/second, how fast is the top of the ladder moving down when the foor of the ladder is 5 feet from the wall? I

asked by Billy the Goat on April 6, 2015
23. ## Calculus

a 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 1 feet/second, how fast is the top of the ladder moving down when the foor of the ladder is 2 feet from the wall?

asked by Billy the Goat on April 6, 2015
24. ## math

A 13 foot ladder is leaning against a building.The bottom of the ladder is 5 feet from the building.How high up does the ladder meet the wall?

asked by evelyn on March 25, 2013
25. ## algebra 1

A ladder leaning against a house makes an angle of 60 degress with the ground. The foot of the ladder is 7 feet from the foundation of the house.how long is the ladder? please some sugesstions

asked by nena on April 23, 2011
26. ## Maths

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

asked by Anand on July 15, 2016
27. ## math

a ladder leaning against a wall makes a 60 degree angle with the ground. the base of the ladder is 4m from the building. how high above the ground is the top of the ladder?

asked by michael on December 13, 2011
28. ## geometry

a ladder leaning against a wall makes a 60 degree angle with the ground. the based of the ladder is 4m from the building. how high above the ground is the top of the ladder

asked by anonymous on December 7, 2011
29. ## GEOMETRY

3. A ladder leaning against a wall makes a angle with the ground. The base of the ladder is 4 meters from the building. How high above the ground is the top of the ladder?

asked by MAKIL on June 21, 2012
30. ## Calculus Ab

A 26 foot step ladder is leaned up against a 30 foot building to reach a window near the top. The ladder is being pushed toward the building in a horizontal direction of 2 feet per second. 1. Find each related rate when the ladder is 10 feet away from the

asked by Maria on October 10, 2010
31. ## Easy Pre-calculus Questions?

What is the value of x in the right triangle below? If needed, round your answer to two decimal places. 32 angle, 15 inches. A 10-foot ladder is leaning up against the side of a building so that the top of the ladder reaches the top of the building. If the

asked by kalakalikalakali on June 30, 2011
32. ## maths

A ladder leaning against a wall makes an angle 60 with the horizontal if the foot of the ladder is the 2.5m away from the wall find the length of the ladder

asked by priya on February 11, 2017
33. ## calculus

A ladder 13 feet long is leaning against the side of a building. If the foot of the ladder is pulled away from the building at a constant rate of 8 inches per second, how fast is the area of the triangle formed by the ladder, the building, and the ground

asked by beth on March 12, 2015
34. ## trig

what is the angle of elevation of a 15 foot ladder leaning 12 feet up a building?

asked by tay on October 3, 2014
35. ## geometry

A ladder leaning against a vertical wall makes a angle of 75degree with the ground. If the foot of the ladder is 4 feet from the base of the wall, would this ladder be long enough for you to retrieve the suction dart that your friend stuck 17ft up the

asked by michelle on April 2, 2009
36. ## Calculus

A 15.5 foot ladder leaning up against the building .the base is 8.2 feet away from the building .how far up does the ladder reach against the building.

asked by Vickie on March 21, 2016
37. ## math trigonometry

1. Two straight roads intersect to form an angle of 75". Find the shortest distance from one road to a gas station on the other road 10o0 m from the junction. 2. Two buildings with flat roofs are 60 m apart. From the roof of the shorter building, 40 m in

asked by mikee on January 4, 2013
38. ## algebra

2. A 10 foot ladder is leaning against a house. The bottom of the ladder is 5 feet from the building. How high is the top of the ladder? Round to the nearest hundredth.

asked by sera on November 26, 2010
39. ## Algebra

A fireman leans a 40-ft long ladder up against a building. The base of the ladder creates an angle of elevation of 32 degrees with the ground. How far is the base of the ladder from the base of the building? Round to the nearest whole foot, if necessary.

asked by Allan on May 19, 2013
40. ## math,trigonometry

a 35-foot long ladder is leaninig against the wall of a building. how far from the ground is the top of the ladder and how far from the base of the buildings is its foot if it makes a 20° angle with the wall ?

asked by Goldamier on November 24, 2014
41. ## Trigonometry

a 30 feet ladder resting against a building makes a 60 angle with the ground . find the Height from the ground at which the ladder touches the building to the nearest foot

asked by :) on March 5, 2012
42. ## Analytical Geometry

A 10 foot long ladder is leaning against a vertical wall with the top of the ladder 8ft from the ground. What is the slope of the ladder? How far is the foot of the ladder from the wall? Can a 6 foot tall man walk under the ladder 1 foot from the wall?

asked by Julius on January 4, 2015
43. ## math

a 10 foot ladder is leaning againts a wall the base of the ladder is 2 feet from the base of the building, how far up the building does the ladder fall?

asked by mardochee on February 19, 2015
44. ## Calculus

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

asked by J on July 17, 2013

A 15 ft. ladder is leaning against the side of a house and forms an angle of 66o with the ground. To the nearest foot how far from the base house is the foot of the ladder? I set it up cos66=15/x 15/cos66 =36.878, rounding to the nearest ft makes it 37

asked by Anonymous on June 1, 2014
46. ## math

A ladder is leaning against the side of a house and forms an angle of 66o with the ground. The foot of the ladder is 11.3 feet from the base of the house. Find the length of the ladder to the nearest foot.

asked by danielle on May 27, 2014
47. ## Geometry

A 16 foot ladder is leaning against a house. It touches the bottom of a window that is 12.5 feet above the ground. What is the measure of the angle that the ladder forms with the ground? 38.6 degrees?

asked by Anonymous on February 13, 2016
48. ## math

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

asked by syria on March 8, 2017
49. ## math

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

asked by Angel on March 22, 2016
50. ## Math

0-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall

asked by Anonymous on April 20, 2016
51. ## math

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

asked by marcia jones on March 19, 2019
52. ## Precalculus

A 28 foot ladder just reaches the top of a building and forms an angle at 44. 4 degrees with the wall of the building. How many feet is the building tall?

asked by Jeanette on July 2, 2013
53. ## Algebra

A 10 foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 72degree with the level ground for a secure footing. Find to the nearest inch, how far of the ladder should be from the side of the

asked by Zing on February 7, 2012
54. ## Math>> Help!!

A 20 foot ladder is leaning against a building.If the ratio of the base of the ladder's distance from the building to its top's height from the ground is 3:4, find how high the top of the ladder is from the ground.

asked by Jnr John on June 5, 2013
55. ## Math

A 20 foot ladder is leaning against a building. If the ratio of the base of the ladder's distance from the building to its top's height from the ground id 3:4, find how high the top of the ladder is from the ground.

asked by Seth on June 5, 2013
56. ## maths

A 20 foot ladder is leaning against a building.if the ratio of the base of ladder's distance from the building to its top's height from the ground is 3:4,find how high the top of the ladder is from the ground.

asked by cedric mitz on June 13, 2013
57. ## calculus

A 13 foot ladder leaning against a wall makes an angle of degree radians with the ground. The base of the ladder is pulled away from the wall at a rate of 2ft/sec. How fast is degree changing when the base of the ladder is 5 feet way.

asked by ron on November 4, 2012
58. ## geometry

thebottom of the ladder is 3 feet from the building. the ladder makes an angle of 75 degree with the ground. how high up on the building does the ladder reach? how long is the ladder?

asked by donta on October 18, 2012
59. ## Pre calc

A 20-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the building, what is the angle of elevation of the ladder? (Round your answer to one decimal place.) How high does the ladder reach on the building? (Round

asked by Ruth on April 4, 2017
60. ## geometry

A 24 foot ladder forms a 76 degree angle with the ground. The top of the ladder rests against the building. To the nearest inch how high up the building does the ladder reach?

asked by jill on February 20, 2012
61. ## Math

A building 24 m tall is viewed from the top and bottom of a vertical ladder.The building forms an angle of 45 degrees with the top of the ladder and an angle of 60 degrees with the bottom of the ladder.Find (i) the height of the vertical ladder (ii) the

asked by Anonymous on July 15, 2009
62. ## algebra 1

A ladder leans against a building, forming an angle of 53° with the ground. The base of the ladder is 3 ft from the building. To the nearest hundredth of a foot, how long is the ladder?

asked by Samantha on May 10, 2011
63. ## Math

A ladder is leaning against the side of a house so that it can reach a window that is 25 feet off the ground. The angle in which is formed between the ladder and the ground is 52 degrees. How far from the base of the house is the base of the ladder? Round

asked by Michael on December 2, 2014
64. ## Geometry

A Ladder leans against a 15 foot tall building to form a right angle. The ladder is placed so it is 8 feet from the base of the building. What is the length of the ladder?

asked by Marquise on February 29, 2016
65. ## Math

A 14 FOOT LADDER IS LEANING AHAINST A BUILDING WITH THE BASE OF THE LADDDER 5 FEET FROK THE BUILDING HOW HIGH UP ON THE BUILDING WILL THE TOP OF THR LADDEE REACH?

asked by Anns on October 19, 2016
66. ## geometry

A 12-foot ladder that is leaning against a wall makes a angle with the level ground. What equation can be used to determine the height in feet (y) from the ground to where the ladder touches the wall?

asked by why on March 9, 2017
67. ## Trigonometry

a 20ft. ladder is leaning against a wall so that the foot of the ladder is 9ft. from the buss of the wall what angle does the ladder make with the ground? what is the distance from the top of the ladder to the base of the house? based in trigonometry

asked by Ara Jane on November 21, 2015
68. ## college algebra

A contractor leans a 23-foot ladder against a building. The distance from the ground to the top of the ladder is 7 feet more than the distance from the building to the base of the ladder. How far up the building is the ladder to the nearest tenth of a

asked by Anonymous on September 16, 2014
69. ## math word problems

A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 9 ft less than the length of the ladder.how high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the

asked by lin on August 1, 2009
70. ## math

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground. To the nearest tenth of a foot, how long is the ladder?

asked by TheOneNotHere on June 4, 2014

"A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the base is 12 feet from the building, the base is moving at the rate of 6 ft/sec. How fast is the top of the ladder sliding down

asked by Lindsay on December 1, 2013
72. ## math

how far from an 84 foot burning building should the base of the fire truck ladder be placed to reach the top of the building at an angle of 60 degrees with the ground. the ladder is mounted to the truck 8 ft off the ground

asked by Anonymous on March 23, 2014
73. ## trigonometry

how far from an 84 foot burning building should the base of the fire truck ladder be placed to reach the top of the building at an angle of 60 degrees with the ground. the ladder is mounted to the truck 8 ft off the ground

asked by alex on March 23, 2014
74. ## trigonometry

how far from an 84 foot burning building should the base of the fire truck ladder be placed to reach the top of the building at an angle of 60 degrees with the ground. the ladder is mounted to the truck 8 ft off the ground

asked by Anonymous on March 23, 2014
75. ## geometry

A 25 meter ladder is leaned against a tall building. If the ladder makes a 30 degree angle with the ground, how high up on the building (in meters) does the ladder fall?

asked by Courtney on February 24, 2016
76. ## Pre-Algebra

A 9 foot ladder leans against a building at a point 7 feet above the ground. At what height would a 15 foot ladder touch the building if both ladders for the same angle with the ground? Propotion? But I just get a decimal...

asked by Dean on January 5, 2010
77. ## Calculus

related rates: a ladder, 12 feet long, is leaning against a wall. if the foot of the ladder slides away from the wall along level ground,what is the rate of change of the top of the ladder with respect to the distance of the foot of the ladder from the

asked by JJ on January 9, 2008
78. ## CALCULUS HELP!!

I haven't done this type of problem in a while, so if someone can just show me how to set it up, I can figure out the rest. (: "A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the

asked by Lindsay on December 1, 2013
79. ## Geometry

A 12 foot ladder leaning at a 75 degree angle how far up the wall does the ladder reach

asked by Hunter on May 16, 2016
80. ## trigometry

1. A 16-foot ladder on ground level is leaning against a house. If the base of the ladder is placed 5.0 feet from the house, what is the angle formed at the top of the ladder? A. 24° B. 18° C. 72° D. 20° please help I don't know how to do this

asked by jake on February 20, 2013
81. ## algebra II

can someone please explain how to do this problem: A twelve-foot ladder is leaning against a wall. If the ladder reaches 8 ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree? 1. 36° 2. 42° 3. 48° 4. 54°

asked by ashlyn on June 30, 2011
82. ## 5 Pre-Calculus Questions

1. What is the value of x in the right triangle below? If needed, round your answer to two decimal places. 32 angle, 15 inches, find the x in base… 2. A 10-foot ladder is leaning up against the side of a building so that the top of the ladder reaches the

asked by Anonymous on June 30, 2011
83. ## physics

A uniform 7.1 m tall aluminum ladder is leaning against a frictionless vertical wall. The ladder has a weight of 272 N. The ladder slips when it makes a 57.0degrees angle with the horizontal floor. Determine the coefficient of static friction between the

asked by PHYSICS HELP!!!! on November 7, 2011
84. ## physics101

A uniform 7.1 m tall aluminum ladder is leaning against a frictionless vertical wall. The ladder has a weight of 272 N. The ladder slips when it makes a 57.0degrees angle with the horizontal floor. Determine the coefficient of static friction between the

asked by physics on November 7, 2011
85. ## Math - Trigonometry

A 2m long ladder leaning against a wall makes an angle of 38 degrees with the wall. how far is the base of the ladder from the wall?

asked by Kiirsty on May 13, 2014
86. ## math

1. nathan is climbing 25ft ladder oeaning against a tree. the foot of the ladder is 15ft from the base of the tree, what is the measure of the angle the ladder makes with ground. 2.erin is flying an plan at 3000 ft high, she sees her house at 32 degrees

asked by rhita on May 20, 2013
87. ## Math

A 20 foot ladder is leaning against the side of a building. The bottom of the ladder is 4 feet from the wall. How many feet above the ground does the ladder touch the wall?

asked by Raymond on December 3, 2011
88. ## maths

When one end of a ladder,LM,is placed against a vertical wall at a point 5m above the ground,the ladder makes an angle of 37° with the horizontal ground. 1. Represent the information in a diagram 2. Calculate, correct to 3 significant figure,the length of

asked by victoria on January 14, 2018
89. ## Trigonomentry

A ladder 35 foot long is leaning against an embankment, inclined 62.5 degrees to the horizontal. if the bottom of the ladder is 10.2 feet from the embankment, what is the distance from the top of the ladder down to the embankment to the ground?

asked by Anonymous on May 5, 2016
90. ## Trigonomentry

A ladder 35 foot long is leaning against an embankment, inclined 62.5 degrees to the horizontal. if the bottom of the ladder is 10.2 feet from the embankment, what is the distance from the top of the ladder down to the embankment to the ground?

asked by Anonymous on May 5, 2016
91. ## Pre-Calculus

A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the

asked by K.C on March 4, 2011
92. ## geometry

A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Find the angle formed between the ladder and the ground.

asked by Pris on March 6, 2014
93. ## precal

A 20-foot ladder makes an angle of 62 degrees with the ground as it leans against a wall. How far up the wall does the ladder reach?

asked by amy on March 22, 2009
94. ## Maths

A ladder, 6m long rests against a wall. The foot of the ladder is 2.5m away from the base of the wall. The ladder has a 'safe angle' with the ground between 60(degrees) and 70(degrees). what are the safe limits for the distance of the foot of the ladder to

asked by Lolo on January 17, 2012
95. ## Math

A 5 feet long ladder leans against a wall and makes an angle of 65 degrees with the ground. find, to the nearest tenth of a foot, the distance from the wall to the base of the ladder.

asked by Anonymous on February 27, 2011
96. ## maths

A ladder, leaning against a wall, makes an angel 60¡ã with the horizontal. If the foot of the ladderis 2.5 m away from the wall, find the length of the ladder

asked by Ayush Gupta on June 2, 2016
97. ## Algebra

I need to find the slope of a ladder that is leaning against a building. The bottom of the ladder is 9 ft from the building and the top of the ladder is 16 ft above the ground.

asked by Todd on February 19, 2013
98. ## Math

A 5.0m ladder is leaning 3.1m up a wall. What is the angle the ladder makes with the ground?

asked by Danielle on August 30, 2012
99. ## Calculus

A 12-ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder away from the wall at the rate of 0.5ft/s. What is the configuration of the ladder at the instant that the vertical speed of the top of the ladder equals the

asked by Zoe on October 26, 2014
100. ## math

a ladder is leaning againt the side of a building. The ladder is 10 feet away from the building and touches the building at a point 24 feet above the base. How long is the ladder?

asked by mary ann on March 7, 2012