   Chapter 11.2, Problem 40E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# A ladder of length AB is carried horizontally through an L-shaped turn in a hallway. Show that the ladder has the length L = 6 sin θ + 6 cos θ To determine

To find:

To show that the ladder has the length L=6sinθ+6cosθ by using the following figure, Explanation

Consider the following figure,

General formula for cosine ratio and sin ratio is given below,

For smaller triangle A:

From the above figure shows that the hypotenuse A of the smaller triangle is formed by the left end of the ladder since it is opposite to right angle

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