Answer
$$x=15\sqrt{2}$$
Work Step by Step
Using trigonometry, we find:
$$ \cos \left(45^{\circ \:}\right)=\frac{x}{30} \\ \frac{30x}{30}=30\cos \left(45^{\circ \:}\right) \\ x=15\sqrt{2}$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 7 - Trigonometry and Periodic Functions - Exercises to Skills for Special Angles - Page 324: 20
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