Answer:
B = 58.7°
b = 15.9 ft
a = 9.7 ft
Step-by-step explanation:
We are given;
C = 90°
A = 31.3°
c = 18.6 ft
Since sun of angles in a triangle is 180°, thus; B = 180 - (90 + 31.3)
B = 58.7°
From law of sines, we can find b.
Thus; b/sin B = c/sin C
b/sin 58.7 = 18.6/sin 90
b/0.8545 = 18.6/1
b = 18.6 × 0.8545
b = 15.8937 ft
To the nearest tenth gives;
b = 15.9 ft
Similarly;
a/sin A = c/Sin C
a/sin 31.3 = 18.6/sin 90
a/0.5195 = 18.6
a = 18.6 × 0.5195
a = 9.6627
To the nearest tenth gives;
a = 9.7 ft
