Question

Please help me....................

Answer 1

B = 43°

a = 44.7

c = 53.3

Explanation:

✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)

B = 180 - 137

B = 43°

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a

Adjacent = 29

Thus,

tan 47 = a/29

Multiply both sides by 29

29*tan 57 = a

44.7 = a

a = 44.7 (nearest tenth)

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a = 44.7

Hypotenuse = c

Thus,

Sin 47 = 44.7/c

Multiply both sides by c

c*sin 57 = 44.7

Divide both sides by sin 57

c = 44.7/sin 57

c = 53.3 (nearest tenth)