Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises: 39

Answer

The length of the loading ramp is $\approx 8.1$ ft.

Work Step by Step

Let $H =$ hypotenuse of the triangle / length of loading ramp $a^{2} + b^{2} = c^{2}$ $4^{2} + 7^{2} = H^{2}$ $16 + 49 = H^{2}$ $65 = H^{2}$ $H = \sqrt 62$ $H = 8.062...$ $H \approx 8.1$ ft
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