Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Common Core End-of-Course Assessment - Page 880: 38

Answer

$\bf{I}$

Work Step by Step

Let us suppose that $x$ is the vertical leg. Here, one leaf is the hypotenuse of a right angle. That is, $\sin 78^{\circ}=\dfrac{x}{143} \implies x=143 \sin 78^{\circ}$ Now, the height of the tip is: $h=65+x$ or, $h=65+143 \sin 78^{\circ} \approx 205 \ ft$ Therefore, the correct option is $\bf{I}$.
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