Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Test - Page 206: 25


The height of the sail is $14$ feet.

Work Step by Step

The formula for the area of a triangle is given by the following formula: $$A = \frac{1}{2}bh$$ In this problem, the area of the triangular sail is $56$ square feet and the base is $8$ feet. We can set up the equation as follows: $$56 = \frac{1}{2}(8)h$$ Multiply, according to order of operations: $$56 = \frac{8}{2}h$$ Simplify: $$56 = 4h$$ Divide both sides by $4$ to obtain the value for $h$: $$h = 14$$ The height of the sail is $14$ feet.
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