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°
