Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.1 Use Trigonometry with Right Triangles - 13.1 Exercises - Skill Practice - Page 857: 21


$a \approx 9.177$ $b \approx 13.11$ Angle B= $55^{\circ}$.

Work Step by Step

$\sin 35^{\circ}=\dfrac{Opposite}{Hypotenuse}=\dfrac{a}{16}$ This gives: $a \approx 9.177$ and $\cos 35^{\circ}=\dfrac{Adjacent}{Hypotenuse}=\dfrac{b}{16}$ This gives: $b \approx 13.11$ Since, the triangle is $180^{\circ}$ and the right angle is $90^{\circ}$: Angle A is $35^{\circ}$, thus Angle B must be $55^{\circ}$.
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