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Akimi4 [234]
3 years ago
8

DESPERATE FOR EXPLANATION PLEASE HELP

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

This one is the Law of Sines again.


The Law of Sines relies on the standard labeling of triangle ABC with vertices A, B, and C and respective opposite sides of a, b and c. Then


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


Here we have A=150 degrees (opposite side a), b= 10 cm and B = 12 degrees. We seek a.


So we need the first equation of the Law of Sines:


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


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


a = \dfrac{10 \sin 150}{\sin 12} \approx 28.0


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