Question

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

Answer 1

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 = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Opposite side of angle A = Side AC

and hypotenuse of the triangle = Side BC

SinA = $\frac{13}{15}$

    A = $\text{Sin}^{-1}(\frac{13}{15})$

    A = 60.07°

Therefore, measure of angle A is 60.07°.