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# If A = 40°, B = 60°, and a = 20, find b.

Trigonometric Functions
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asked 2021-06-09

If $$A = 40^{\circ}, B = 60^{\circ}$$, and $$a = 20$$, find b.

## Answers (1)

2021-06-10

Use the Law of Sinse: $$\displaystyle\frac{{\sin{{A}}}}{{a}}=\frac{{\sin{{B}}}}{{b}}$$
Substitute given $$A=40^{\circ}, B=60^{\circ}$$, and $$a=20$$, then find b

$$\frac{\sin40^{\circ}}{20}=\frac{\sin60^{\circ}}{b}$$

$$b=\frac{20\sin60^{\circ}}{\sin40^{\circ}}$$

$$b \sim 26.9$$

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