Answer
$b \approx 22$ yd
Work Step by Step
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.
