Answer:
x ≈ 54.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{PQ}{QR}[/tex] = [tex]\frac{7.1}{5}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{7.1}{5}[/tex] ) ≈ 54.8° ( to the nearest tenth )