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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22-07-2017
Mathematics

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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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Luv2Teach Luv2Teach · Answer 1 · 2017-07-22T03:08:53+02:00

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.

carolinecolbert2003 carolinecolbert2003 · Answer 2 · 2020-05-07T03:20:19+02:00

carolinecolbert2003 carolinecolbert2003

07-05-2020

Answer:

39.8

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