Answer:
∠ P ≈ 46.9°
Step-by-step explanation:
The area (A) of Δ PST is calculated as
A = [tex]\frac{1}{2}[/tex] × PS × PT × sinP
Here A = 71.24 , then
[tex]\frac{1}{2}[/tex] × 15 × 13 × sinP= 71.24 , that is
97.5 × sinP = 71.24 ( divide both sides by 97.5 )
sinP = [tex]\frac{71.24}{97.5}[/tex] , then
∠ P = [tex]sin^{-1}[/tex] ([tex]\frac{71.24}{97.5}[/tex] ) ≈ 46.9° ( to the nearest tenth )
