Ladder calculations A ladder 20 feet long leans against theside of a building, and the angle between the ladder and thebuilding is 22°.(a) Approximate the distance from the bottom of the lad-der to the building.(b) If the distance from the bottom of the ladder to thebuilding is increased by 3.0 feet, approximately howfar does the top of the ladder move down the building?

Given- The length of the ladder is 20 feet and the angle between ladder and the building is 22°. To…

Answered: Ladder calculations A ladder 20 feet…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 46E

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Similar questions

Leaning Ladder A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?
Height of a Tower A water tower is located 325 ft from a building see the figure. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39 and that the angle of depression to the bottom of the tower is 25. How tall is the tower? How high is the window?
Height of a Building From a point A on the ground, the angle of elevation to the top of a tall building is 24.1. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2. Find the height of the building.
Angle of Elevation A man standing near a building notices that the angle of elevation to the top of the building is 64. He then walks 240 ft farther away from the building and finds the angle of elevation to the top to be 43. How tall is the building?
Leaning Ladder A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72. How high does the ladder reach on the building?
Height of a Tower A 600-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of 65 with the ground, how tall is the communications tower?
Distance A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58 with the ground. If the length of the tent pole is 44 feet, how far is ii from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.)
Leaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?
Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75 from the horizontal. An observer 600 m away measures the angle of elevation to the spot of light to be 45. Find the height h of the cloud cover.
Radio Antenna A short-wave radio antenna is supported by two guy wires, 165 ft and 180 ft long. Each wire is attached to the top of the antenna and anchored to the ground at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of 67 with the ground. How far apart are the anchor points?

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