Given the triangle below determine the following.

1. mZA
2. Length of BC
3. Length of AB
B
62°
A
C
22.6 mi

1 answer

1. m∠A = 180° - 62° - 22° = 96°
2. BC is the side opposite angle A, so length of BC = 22.6 mi
3. To find the length of AB, we can use the sine law:
sin(62°)/AB = sin(96°)/22.6
AB = sin(62°)*22.6/sin(96°)
AB ≈ 19.43 mi