## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 4 - Section 4.3 - Right Triangle Trigonometry - Exercise Set - Page 561: 29

#### Answer

$a \approx 188$ cm

#### Work Step by Step

RECALL: (1) $\sin{\theta} = \dfrac{\text{opposite side}}{\text{hypotenuse}}$ (2) $\cos{\theta} = \dfrac{\text{adjacent side}}{\text{hypotenuse}}$ (3) $\tan{\theta} = \dfrac{\text{opposite side}}{\text{adjacent side}}$ Use (3) above to obtain: $\tan{37^o}=\dfrac{a}{250} \\250(\tan{37^o})=a$ Use a calculator in DEG mode to obtain $\\188.3885125 = a \\a \approx 188$ cm

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