Given an angle on a right triangle, the ratio between the opposite leg and the hypotenuse is equal to the sine of the angle.
[tex]\sin\theta=\frac{A}{B}[/tex]
Using this property in our problem, we have the following relation for the missing side:
[tex]\sin41^o=\frac{a}{16}\implies a=16\cos41^o=10.49694...\approx10[/tex]
The length of the missing side is 10m.
