Question

Given: △PST, Area of △PST=71.24 PS=15, Pt=13 Find: m∠P (Please help!!!)

Answer 1

∠ P ≈ 46.9°

Explanation:

The area (A) of Δ PST is calculated as

A =
`(1)/(2)` × PS × PT × sinP

Here A = 71.24 , then

`(1)/(2)` × 15 × 13 × sinP= 71.24 , that is

97.5 × sinP = 71.24 ( divide both sides by 97.5 )

sinP =
`(71.24)/(97.5)` , then

∠ P =
`sin^(-1)` (
`(71.24)/(97.5)` ) ≈ 46.9° ( to the nearest tenth )