Answer
$x = 85.2$ m
Work Step by Step
Since we have the measure of one angle and the measure of the hypotenuse, we can use the sine ratio to find $x$, which is the side opposite to our given angle.
The sine ratio is given as follows:
sin $A = \frac{opposite}{hypotenuse}$
Let's plug in what we know:
sin $28^{\circ} = \frac{40}{x}$
Multiply each side by $x$:
sin $28^{\circ}(x) = 40$
Divide each side by sin $12^{\circ}$ to solve:
$x = 85.2$ m
