Given the following triangle, if b = 9 and B = 15°, find a.

Mathematics

1 answer:

NeX [460]3 years ago

6 0

The picture in the attached figure

we know that
Applying the law of sines
b/sin B=a/sin A------> a=b*sin A/sin B
b=9
B=15°
A=180-(90+15)-----> A=75°
a=?
a=b*sin A/sin B-----> a=9*sin 75/sin 15----> a=33.59 units

the answer is
33.59 units

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