## Thinking Mathematically (6th Edition)

$b \approx 22$ yd
RECALL: In a right triangle, $\sin{A} = \dfrac{\text{length of opposite side}}{\text{length of hypotenuse}} \\\cos{A} = \dfrac{\text{length of adjacent side}}{\text{length of hypotenuse}} \\\tan{A} = \dfrac{\text{length of opposite side}}{\text{length of adjacent side}}$ Use the tangent formula to obtain: $\tan{A} = \dfrac{\text{length of opposite side}}{\text{length of adjacent aide}} \\\tan{33^o}=\dfrac{14}{b}$ Multiply $b$ to both sides of the equation to obtain: $b \cdot \tan{33^o} = 14$ Divide $\tan{33^o}$ on both sides of the equation to obtain: $b = \dfrac{14}{\tan{33^o}} \\b = 21.55810949 \\b \approx 22$ Thus, $b \approx 22$ yd.