Answer:
x = 45.77
Explanation:
Because this is a right triangle, we can find the measure of x using one of the trigonometric ratios. We see that when ∠D is the reference angle, side BC is the opposite side and side BD is the hypotenuse.
Thus, we can use the sine ratio, which is:
sin (reference angle) = opposite / hypotenuse
We plug in 74 for the reference angle and 44 for the opposite. This will allow us to solve for x, aka the measure of the hypotenuse:
sin (74) = 44 / x
x * sin (74) = 44
x = 44 / sin (74)
x = 45.77317518
x = 45.77