Answer/Step-by-step explanation:
The triangle is a right triangle.
✔️m<A = 180° - (53° + 90°)
m<A = 37°
✔️Find AC using trigonometric ratio:
Reference angle = 53°
Opposite = AC
Hypotenuse = 5 m
Thus:
Sin (53) = opp/hyp
Sin (53) = AC/5
5*Sin(53) = AC
AC = 3.99 (nearest hundredth)
✔️Find BC using trigonometric ratio:
Reference angle = 53°
Hypotenuse = 5
BC = Adj
Cos (53) = adj/hyp
Cos (53) = BC/5
5*Cos(53) = BC
BC = 3.01 (nearesth hundredth)