Answer
$c \approx 41$ 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:
$\sin{23^o}=\dfrac{16}{c}
\\c(\sin{23^o})=16
\\c = \dfrac{16}{\sin{23^o}}$
Use a calculator in DEG mode to obtain
$\\c=40.94887464
\\c \approx 41 \text{ m}$
