Q:

Solve PQRInclude all relevant calculations, please. I'm trying to make sure I understand what I did wrong.

Accepted Solution

A:
Answer:r = 15.9 m∠P = 63.27°∠Q = 26.73°∠R = 90°Step-by-step explanation:"Solving a triangle" means to find all 3 side lengths, and find all 3 angle measues.To find r, use Pythagorean theorem (since it's a right triangle)   (7.15)² + (14.2)² = r²           51.225 + 201.64 = r²                  252.865 = r²                        15.9 = r     (take the square root of both sides)To find angle P, use Tan inverse.  (We have the side opposite and adjacent to the angle).  Tan x = opposit/adjacent so we have   Tan^-1 P = 14.2/7.15               P = 63.27    We have angle R = 90°, so angle Q is Q = 180 - R - P    Q = 180 - 90 - 63.27            Q = 26.73°