Question

How do you determine the number of possible solutions using the rule of law of sines given a=125, A=25°, b=150?

Answer 1

Use trig identity:`sin B/b = sin A/a`

`sin B = (b.sin A)/a = (150(0.42))/125 = 0.50`

2 possible solution: B = 30 deg or B = 180 - 30. = 150 deg

However, by comparing the 2 sides a (125) to b (150), we see that the value B = 30 is reasonable.