Question

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

Answer 1

hey mate..

Your answer:-

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) get an angle of 39.8 degrees.