In right ∆ABC, C is a right angle and sin A = 243/312. What is mB?

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23-06-2017
Mathematics

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In right ∆ABC, C is a right angle and sin A = 243/312. What is mB?

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scme1702 scme1702 · Answer 1 · 2017-06-29T20:48:28+02:00

scme1702 scme1702

29-06-2017

The sin of any given angle is:
sin(∅) = perpendicular / hypotenuse

The perpendicular of angle A will be equivalent to the base of angle B. Therefore,
Cos(B) = 243/312
B = Cos⁻¹(243/312)
B = 38.8°

The measure of angle B is 38.8 degrees.

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