Answer
$ h=500tan\theta $
Work Step by Step
Let $\theta $ be the angle formed by the balloon (with height $ h $) with respect to the range finder (500ft away horizontally).
We have $ tan\theta=\frac{h}{500}$.
Hence: $ h=500tan\theta $
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 1: Functions - Practice Exercises - Page 36: 4
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