Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.6 Right Triangle Trigonometry - Exercise Set 10.6 - Page 668: 60

Answer

The given statement makes sense.

Work Step by Step

Tangent ratio is always used in order to determine the maximum angle that is possible by the ramp with the ground. Thus, it is necessary that the slope must be constructed not more than 1 inch of rise for every 1 foot of run. The angle of elevation can be computed by applying the tangent ratio formula: \[\tan \theta =\frac{a}{b}\] Where a is the side opposite to the angle and b is the side adjacent to the angle. Hence, the given statement makes sense.
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