Question

Solve the right triangle given that A=30 degrees, C=90 degrees and a =15

Answer 1

B = 60°; c = 30; b = 25.98

Explanation:

1. Calculate ∠B

∠A + ∠B + ∠C =180°

30° + ∠B + 90° = 180°

∠B + 120° = 180°

∠B = 60°

2. Calculate c

sinA = a/c

sin30° = 15/c

½ = 15/c

c = 2 × 15 = 30

3 .Calculate b

sinB = b/c

sin60° = b/30

√3/2 = b/30

b = (30√3)/2 = 15√3 = 25.98