In triangle ABC, angle B = 30°, a = 210, and b = 164. The measure of angle A to the nearest degree is a0

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String Bean

Mathematics

Today, 06:46

In triangle ABC, angle B = 30°, a = 210, and b = 164. The measure of angle A to the nearest degree is a0

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Abel Gordon · Answer 1

Ah the Law of Sines! Gotta love it! Set up your equation like this:

a/SinA = b/SinB of which we have all but one of those values. Our particular equation looks like this then: 210/SinA = 164/Sin30. Cross multiply to get

210Sin30 = 164SinA. Divide both sides by 164 to get 210Sin30/164 = SinA. Do the math on the left and get, 6402 = SinA. Now use the inverse Sin on your calculator (2nd button then Sin button and then enter. 6402) and get an angle of 39.8 degrees.