Question

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

Trigonometric Functions
ANSWERED
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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