Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.1 Functions - Exercises Set 0.1 - Page 14: 25


$$h= L-L \cos \theta $$

Work Step by Step

To find the height $h$, one should draw a line from the pendulum to the vertical line, perpendicular to it. Now, one can find the height $h$ by subtracting the sides of the resultant right triangle from $L$, that is,$$h= L-L \cos \theta .$$ We have used the fact that in any right triangle $\cos \theta$ equals the ratio of the length of the hypotenuse to the length of the adjacent side.
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