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

Dolly Robinson 2021-09-08 Answered

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

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Expert Answer

Faiza Fuller
Answered 2021-09-09 Author has 18501 answers

Use the Law of Sinse: \(\displaystyle\frac{{\sin{{A}}}}{{a}}=\frac{{\sin{{B}}}}{{b}}\)
Substitute given \(A=40°,\ B=60°\), and \(a=20\), then find \(b\):
\(\displaystyle\frac{{ \sin{{40}}^{\circ}}}{{20}}=\frac{{ \sin{{60}}^{\circ}}}{{b}}\)
\(\displaystyle{b}=\frac{{{20} \sin{{60}}^{\circ}}}{{ \sin{{40}}^{\circ}}}\)
\(\displaystyle{b}={26.9}\)

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