Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-6 Trigonometric Ratios - Practice and Problem-Solving Exercises - Page 650: 34


The geyser is 23.8 feet.

Work Step by Step

The first step of this problem is to understand the information given. The length of the adjacent side is 20 feet and the angle looking to the top of the geyser is 50$^o$. We use tangent to solve: tan50$^o$ = $\frac{x}{20} $. Multiplying both sides by 20 will isolate x, the value we are looking for. Plugging tan50$^o$ times 20 into the calculator will return a result of approximately 23.8, which is the height of the geyser.
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