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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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

Chapter 11.2, Problem 40E, A ladder of length AB is carried horizontally through an L-shaped turn in a hallway. Show that the

To determine

To find:

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

Elementary Geometry for College Students, Chapter 11.2, Problem 40E

Explanation

Consider the following figure,

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

cosθ=adjacenthypotenuseθ=cos1(adjacenthypotenuse) and sinθ=oppositehypotenuseθ=sin1(oppositehypotenuse)

tanθ=oppositeadjacent

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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