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 - Page 596: 45

Answer

$h \approx 11.6$ ft

Work Step by Step

1. Find the length of the castle from the ground to the top of the ladder Let $h =$ the height $ h^{2} + b^{2} = c^{2}$ $h = \sqrt {c^{2} - b^{2}}$ $h = \sqrt {12^{2} - 3^{2}}$ $h = \sqrt {135}$ $h = 11.618...$ ft $h \approx 11.6$ ft
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