Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.3 - Trigonometric Functions of Angles - 6.3 Exercises - Page 499: 65

Answer

a. $ h=5280\tan\theta$ (ft) b. Fill the table with 1922, 9145, 29944, 60351

Work Step by Step

a. From the diagram in the book, we see a right triangle with legs 1 mi=5280 ft adjacent to $\theta$, h opposite to $\theta$ So, $\displaystyle \tan\theta=\frac{h}{5280} \ \Rightarrow\ h=5280\tan\theta$ (ft) b. $ h=5280\tan 20^{o}\approx$1921.76283693 $ h=5280\tan 60^{o}\approx$9145.22826396 $h=5280\tan 80^{o}\approx $29944.3680076 $ h=5280\tan 85^{o}\approx$60350.6761586 Fill the table with 1922, 9145, 29944, 60351
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.