Question

In ΔPQR, right angle is at Q, PQ = 3 cm and PR = 6 cm. Determine ∠QPR and ∠PRQ.

Answer 1

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Answer 2

Answer:

∠QPR = 60°

∠PRQ = 30°

Step-by-step explanation:

In ΔPQR, right angle is at Q

PQ = Base = 3 cm

QR = Height

PR = Hypotenuse = 6 cm

Cos ∠QPR =  Base / Hypotenuse

=> Cos ∠QPR = 3/6

=> Cos ∠QPR = 1/2

=> ∠QPR  = Cos⁻¹(1/2)

=> ∠QPR = 60°

in ΔPQR

∠QPR + ∠PRQ + 90° = 180°

=> 60° + ∠PRQ + 90° = 180°

=> ∠PRQ = 30°