Use the diagram to answer the question. What is the measure of ∠A? Enter the correct value. Do not enter the degree symbol.

Answer:
Measure of ∠A = 60.07°
Step-by-step 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 = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Opposite side of angle A = Side AC
and hypotenuse of the triangle = Side BC
SinA = [tex]\frac{13}{15}[/tex]
A = [tex]\text{Sin}^{-1}(\frac{13}{15})[/tex]
A = 60.07°
Therefore, measure of angle A is 60.07°.