What is the measure of ∠A?

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AB represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine m∠A, we would apply

the sine trigonometric ratio.

Cos θ, = opposite side/hypotenuse. Therefore,

Sin A = 13/15 = 0.87

∠A = Sin^-1(0.87)

∠A = 60.5 to the nearest tenth.