Answer:
B = 31°
a = 18.9
b = 11.3
Step-by-step explanation:
✔️B = 180° - (90° + 59°) (sum of triangle)
B = 31°
✔️Use trigonometric ratio to find a:
Reference angle = 59°
Side opposite to reference angle = a
Hypotenuse = 22
Thus,
Sin 59 = a/22
Multiply both sides by 22
22*sin 59 = a
18.9 = a
a = 18.9 (nearest tenth)
✔️Use trigonometric ratio to find a:
Reference angle = B = 31°
Side opposite to reference angle = b
Hypotenuse = 22
Thus,
Sin 31 = b/22
Multiply both sides by 22
22*sin 31 = b
11.3 = b
b = 11.3 (nearest tenth)
