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: 39


The value of p is 514.3

Work Step by Step

The question gives us the angle, which is found by $12+21 = 33$. The length of the base is 792. Using the tangent rule of $ \frac{Opposite}{Base} $, we can set the equation up as $ tan 33 = \frac{p}{792}$. To simplify the equation, we multiply both sides by 792 to get a new equation of $ tan33 * 792 = p $. Solving for $ tan33 $, we get a value of 0.649. This value multiplied by 792 will return our answer, which is $514.3 $.
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