Answer:
A = 53°
AB = 23.3
BC = 18.6
Step-by-step explanation:
2. Given,
C = 90°
B = 37°
AC = 14
Required:
A, AB, and BC
Solution:
✔️A = 180 - (90 + 37) (sum of triangle)
A = 53°
✔️Find AB and BC using trigonometric function:
Reference angle = 37°
Opp = 14
Hyp = AB
Adj = BC
To find AB, apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 14/AB
AB = 14/Sin 37
AB = 23.262962 ≈ 23.3 (nearest tenth)
To find BC, apply TOA:
Tan 37 = Opp/Adj
Tan 37 = 14/BC
BC = 14/Tan 37
BC = 18.5786275 ≈ 18.6 (nearest tenth)
