Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Review Exercises - Page 90: 53

Answer

137 ft

Work Step by Step

The vertical height of the tree is a leg of a right triangle, (label it with $a)$. $a$ is opposite to the measured angle $A=70^{o}$ The other leg, ($b$=50 ft) is adjacent to A. (SOHCAHTOA) We use $\displaystyle \tan A=\frac{a}{b}$ and solve for $a$: $a=b\cdot\tan A$ $ a=50\cdot\tan 70^{o}\approx$137.373870973, which, to the nearest foot is 137 ft
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.