Home » In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR…

In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR…

In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?

A.
135^o
B.
105^o
C.
90^o
D.
75^o
E.
60^o

Correct Answer: Option D

Explanation

(Delta RPS) = Isosceles triangle

(therefore < RPS = frac{180° – 90°}{2})

= 45°

In (Delta QPR),(sin < QPR = frac{1}{2})

= 30°

(therefore < QPS = 30° + 45° = 75°)