Answer
$a \approx 188$ cm
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 (3) above to obtain:
$\tan{37^o}=\dfrac{a}{250}
\\250(\tan{37^o})=a$
Use a calculator in DEG mode to obtain
$\\188.3885125 = a
\\a \approx 188$ cm
