Given a possible triangle abc with a=16, b=25 a=22 find a possible value for b round to the nearest tenth.

a. 29.7°

b. 35.8°

c. 139.0°

d. no solution

Question

Mathematics

Zaria Leon

14 July, 09:00

Given a possible triangle abc with a=16, b=25 a=22 find a possible value for b round to the nearest tenth.

a. 29.7°

b. 35.8°

c. 139.0°

d. no solution

+1

Answers (1)

Know the Answer?

Jude · Answer 1

We can use the Sine Law:

a / sin A = b / sin B

16 / sin 22° = 25 / sin B

16 / 0.3746 = 25 / sin B

sin B = 25 · 0.3746 / 16

sin B = 0.5853

∠B = sin^ (-1) 0.5853

∠B = 35.83° ≈ 35.8°

Answer: b. 35.8°

Given a possible triangle abc with a=16, b=25 a=22 find a possible value for b round to the nearest tenth.a. 29.7°b. 35.8°c. 139.0°d. no solution

Given a possible triangle abc with a=16, b=25 a=22 find a possible value for b round to the nearest tenth.

a. 29.7°

b. 35.8°

c. 139.0°

d. no solution