Answer:
Measure of ∠A = 60.07°
Explanation:
From the figure attached,
ΔABC is a right triangle,
Measure of side AC = 15 units
and measure of side BC = 13 units
By applying Sine rule in this triangle,
SinA =

Opposite side of angle A = Side AC
and hypotenuse of the triangle = Side BC
SinA =

A =
A = 60.07°
Therefore, measure of angle A is 60.07°.