Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 11 - Review Exercises - Page 525: 22

Answer

The rocket is $\approx 866$ ft in the air after 5 seconds.

Work Step by Step

1. Find the value of x using the sine law $\frac{x}{sin60} = \frac{200}{sin90}$ $ x = \frac{200sin60}{1}$ $ x = 173.2050....$ ft/s 2. Multiply the x value by the number of seconds asked by the question (In this cause, the question is asking the height of the rocket after 5 seconds) Let $H =$ Height of the rocket after $5$ seconds $H = 173.2050... \times x$ $H = 173.2050... \times 5$ $H = 866.0254...$ $H \approx 866$ ft
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