Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 2 - Acute Angles and Right Triangles - Section 2.5 Further Applications of Right Triangles - 2.5 Exercises - Page 90: 46

Answer

$y=(\tan15)(x-5)$

Work Step by Step

Using the instructions in the question, we know that the equation of a line passing through the point $(a,0)$ and making an angle $\theta$ with the x-axis is $y=(\tan\theta)(x-a)$. The question gives us the point $(5,0)$ and angle $15^{\circ}$, which we can substitute into the equation to get our answer! $\theta = 15^{\circ}$ and $a=5$ $y=(\tan\theta)(x-a)$ $y=(\tan15)(x-5)$
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