   Chapter 11.4, Problem 37E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In the support structure for the Ferris wheel, m ∠ C A B = 30 ∘ . If A B = A C = 27  ft , find BC. To determine

To find:

The length of BC of triangle

Explanation

Formula:

The Law of Cosines

a2=b2+c22bccosα

b2=a2+c22accosβ

c2=a2+b22abcosγ

Where α, β, and γ is the acute angle of the triangle, and a, b, and c is the sides of the triangle.

Calculation:

Given,

AB=AC=27 ft and mCAB=30

Since, AB¯=AC¯, then the triangle known as the isosceles triangle.

Find BC:

Let BC¯=a

Then b=AB¯ and c=AC¯ with and α=30

By the law of cosines,

a2=b2+c2"

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