Question

Find a.

Round to the nearest tenth:
2 cm
150
105
a = [? ]cm
Law of Sines: sin A sin B
sin C
b

Answer 1

1.8 cm to the nearest tenth.

Explanation:

The angle opposite side a = 180 - 105 - 15 = 60 degrees.

By the Sine Rule:

a / sin 60 = 2 / sin 105

a = 2 * sin60/ sin 105

= 1.79315