Answer
$a \approx 7$ m
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 (1) above to obtain:
$\sin{34^o}=\dfrac{a}{13}
\\a=13(\sin{34^o})$
Use a calculator in DEG mode to obtain
$\\a=7.269507745
\\a \approx 7$ m
