A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°. How high does the ladder reach up the side of the building? Give your answer to four decimal places.

A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°. How high does the ladder reach up the side of the building? Give your answer to four decimal places.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.CR: Review Exercises

Problem 47CR

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°. How high does the ladder reach up the side
of the building? Give your answer to four decimal places.
feet

Expert Solution

Step 1

$Here, A B is the ladder . A B = 65 ∠ A B C = 65 °$

$We need to find the value of A C .$

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