Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.1 Use Trigonometry with Right Triangles - 13.1 Exercises - Problem Solving - Page 857: 33

Answer

$651.92 ft$ The angle increases the final depth gradually.

Work Step by Step

Here, we have $\tan 15^{\circ}=\dfrac{d}{1500}$ This gives: $ d \approx 1500 tan 15^{\circ}$ and $d \approx 401.92 ft$ Thus, $401.92 ft+ 250 ft =651.92 ft$ Hence, the angle increases the final depth gradually.
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