Question

How do you determine the number of possible solutions, if any, using the rule for law of sines(ambiguous case) given A=38, b=10, a=8?

Answer 1

Solve triangle knowing A = 38, b = 10 and a = 8

Answer: B = 50.80 deg

Explanation:

Find angle B, by using trig identity: `sin B/b = sin A/a`

`sin B = (b/a) sin A = (10)(0.62/8) = 0.78`

There are 2 angles that has the same sin value:

B = 50.80 and B = 129.20. The answer 129.20 is rejected while we compare side b = 10 to side a = 8.