Geometry: Common Core (15th Edition)

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

Chapter 8 - Right Triangles and Trigonometry - 8-4 Angles of Elevation and Depression - Practice and Problem-Solving Exercises - Page 519: 18


$x = 502.4$ m

Work Step by Step

Since we have the measure of one angle and the measure of the side opposite to that angle, we can use the tangent ratio to find $x$, which is the side adjacent to the given angle. The tangent ratio is given as follows: tan $A = \frac{opposite}{adjacent}$ Let's plug in what we know: tan $22^{\circ} = \frac{203}{x}$ Multiply each side by $x$: tan $22^{\circ}(x) = 203$ Divide both sides by tan $22^{\circ}$: $x$ = 203/tan $22^{\circ}$ Divide to solve: $x = 502.4$ m
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.