Mathematics

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.
    135o
  • B.
    105o
  • C.
    90o
  • D.
    75o
  • E.
    60o
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°)