Answer
$a \approx 182$ in.
Work Step by Step
RECALL:
(1) $\sin{\theta} = \dfrac{\text{opposite side}}{\text{hypotenuse}}$
(2) $\cos{\theta} = \dfrac{\text{adjacent side}}{\text{hypotenuse}}$
(3) $\tan{\theta} = \dfrac{\text{opposite side}}{\text{adjacent side}}$
Use (2) above to obtain:
$\cos{34^o}=\dfrac{b}{220}
\\b=220(\cos{34^o})$
Use a calculator in DEG mode to obtain
$\\a=182.3882665
\\a \approx 182$ in.
