Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 33 - Electromagnetic Waves - Problems - Page 1009: 104d

Answer

The angle of the sun is $~~72^{\circ}$

Work Step by Step

As the shadow moves up the wall, $\frac{\Delta y}{\Delta x} = tan~\theta$ Let $v_y$ be the speed of the shadow up the wall. Let $v_x$ be the speed of the hawk. Then: $tan~\theta = \frac{v_y}{v_x}$ $\theta = tan^{-1}~(\frac{v_y}{v_x})$ $\theta = tan^{-1}~(\frac{45~m/s}{15~m/s})$ $\theta = 72^{\circ}$ The angle of the sun is $~~72^{\circ}$
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