Question

In right ∆ABC, C is a right angle and sin A = 243/312, what is m

A) 52.19 degrees
B) 51.16 degrees
C) 44.32 degrees
D) 38.84 degrees
E) 37.91 degrees

Answer 1

D.

38.84°

Explanation:

Answer 2

sin A = cos B, where:

cos B = 243/312

Taking the arc cosine to look for the measure of the angle, this is shown below:

B = arccos (243/312)
B = 38.84 degrees

Among the choices, the correct answer is D. 38.84 degrees.