Question

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

Answer 1

39.81

Guy above me explained it.

Answer 2

Try the law of sines

`(\sin A)/(a)=(\sin B)/(b)`

`(\sin A)/(210)=(\sin 30\°)/(164) \\ \\ \sin A=(210\sin 30\°)/(164) \\ \\ \sin A = 0.64 \\ \\ A=\sin^(-1)0.64=39.81\°`