Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.4 Solving Right Triangles - 2.4 Exercises: 41

Answer

The ladder goes up the wall a distance of 9.35 meters above the top of the fire truck.

Work Step by Step

We can convert angle to degrees: $\theta = 43^{\circ}50' = (43+\frac{50}{60})^{\circ} = 43.83^{\circ}$ We can find the height $d$: $\frac{d}{h} = sin ~\theta$ $d = (h)~(sin ~\theta)$ $d = (13.5~m)~sin ~(43.83^{\circ})$ $d = 9.35~m$ The ladder goes up the wall a distance of 9.35 meters above the top of the fire truck.
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