Question

Suppose your mom or dad asks you to make a triangular garden in the backyard. You know that one side of your yard (AC) is 100 yards long and another side (AB) is 250 yards. In order for the garden to fit, and not cross into the neighbor’s yard, what must be the measure of angle B if angle C measures 95°?

Answer 1

• 23.5°

Explanation:

Use the law of sines:

• AC / sin B = AB / sin C
• 100 / sin B = 250 / sin 95°
• sin ∠B = 100 sin 95° / 250
• sin ∠B = 0.39847787923
• m∠B = arcsin 0.39847787923
• m∠B = 23.5° (rounded up)