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Alexus [3.1K]
3 years ago
11

Calculate the value of angle A and C of ∆ ABC. Where b=1435cm, a= 782cm and B= 115.6°.​

Mathematics
1 answer:
Monica [59]3 years ago
5 0

The Law of Sines says

\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}

\sin A = \dfrac a b \sin B

A = \arcsin( \dfrac{782}{1435} \sin 115.6 ) = 29.44^\circ

We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.

C = 180 - 115.6 - 29.44 = 34.96^\circ

Answer: A=29.44°, C=34.96°

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