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

Question

Cierra Golden

Mathematics

11 December, 02:47

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

+2

Answers (1)

Know the Answer?

Dennis Guerrero · Answer 1

B = 60°; c = 30; b = 25.98

Step-by-step 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