#### Answer

The answer is m=4.5.

#### Work Step by Step

We are given the angle = 53$^o$ and the value of the hypotenuse, which is 5.65. Using the Sin rule of $ \frac{Opposite}{Hypotenuse}$, we can set up our equation.
$Sin53 = \frac{m}{5.65}$. We simplify for m by multiplying both sides by 5.65. This new equation is $sin53 * 5.65 = m$. This simplifies to $0.798 * 5.65$ (0.798 being the value of sin53). Once multiplied, the end result is $m=4.5$.