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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
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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

User Jwheron
by
7.8k points

2 Answers

2 votes

Answer:

D.

38.84°

Explanation:

User Neighborhood Ghost
by
7.6k points
1 vote
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.
User AlAsiri
by
7.6k points
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