Answer
$c \approx 41 \text{ m}$
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 sine formula to obtain:
$\sin{A} = \dfrac{\text{length of opposite side}}{\text{length of hypotenuse}}
\\\sin{23^o}=\dfrac{16}{c}$
Multiply $c$ to both sides of the equation to obtain:
$c \cdot \sin{23^o} = 16$
Divide $\sin{23^o}$ on both sides of the equation to obtain:
$c = \dfrac{16}{\sin{23^o}}
\\c = \dfrac{16}{0.3907311285}
\\c = 40.94887464
\\c \approx 41 \text{ m}$
