Question

In △ABC, m∠B = 90°, m∠C = 15°, M ∈
BC. If m∠BAM = 60°, AM = 10 in. Find: AB
URGENT

Answer 1

Explanation:

You end up with a 30°-60°-90° triangle inside of △ABC.

The sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2.

AB is opposite the 30° angle. AM is opposite the 90° angle and has length 10, so AB is half the length of AM.

AB = 5 units.