Question

Please help....................

Answer 1

B = 31°

a = 18.9

b = 11.3

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)