Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.6 - The Law of Cosines - 6.6 Exercises - Page 523: 50

Answer

161 ft

Work Step by Step

Step 1. Draw a diagram as shown. T is the top, Q is the base of the tower, P is the anchor point. Step 2. In the triangle of TPQ, angle $\angle TQP=90+32=122^{\circ}$, use the Law of Cosines, we have $x^2=125^2+55^2-2\times125\times55\times cos122^{\circ}$ which gives $x\approx161ft$
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