1 Answer

Jihel · Answer 1 · 2019-12-03T03:41:18+0000

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

$(a)/(\sin A) = (b)/(\sin B) = (c)/(\sin C)$

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:

$(a)/(\sin A) = (b)/(\sin B)$

$a = (b \sin A )/(\sin B)$

$a = (10 \sin 150)/(\sin 12) \approx 28.0$

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