## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 6 - 6.7 - Applications and Models - 6.7 Exercises - Page 494: 19

#### Answer

$height=19.67~ft$

#### Work Step by Step

The ladder is the hypotenuse of the right triangle. The height is the opposite side because $\theta=80°$ is the angle between the ladder and the ground. $sin~80°=\frac{opp}{hyp}=\frac{height}{20}$ $height=20~sin~80°=19.67$

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