Answer:
Step-by-step explanation:
Triangle PQR is a right angle triangle.
From the given right angle triangle,
PR represents the hypotenuse of the right angle triangle.
With m∠R as the reference angle,
QR represents the adjacent side of the right angle triangle.
PQ represents the opposite side of the right angle triangle.
To determine m∠R, we would apply
the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan m∠R = 8/3 = 2.67
m∠R = Tan^-1(2.67)
m∠R = 69.5° to the nearest tenth.
