Answer:
Perimeter = 12.0 m
Step-by-step explanation:
Perimeter = AB + AC + BC
AB = 5 m
B = 53°
Use trigonometric functions to find AC and BC respectively.
✔️Find AC:
Reference angle = 53°
Opposite side length = AC
Hypotenuse = 5 m
Apply SOH, which is:
Sin 53 = Opp/Hyp
Sin 53 = AC/5
5*Sin 53 = AC
AC = 3.99317755 ≈ 4 m
✔️Find BC:
Reference Angle = 53
Hypotenuse = 5 m
Adjacent = BC
Apply CAH, which is:
Cos 53 = Adj/Hyp
Cos 53 = BC/5
5*Cos 53 = BC
BC = 3.00907512 ≈ 3.0 m
✔️Perimeter = 5 + 4 + 3 = 12.0 m
