Home » PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to…

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to…

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ∠PQR
  • A.
    51o
  • B.
    64o
  • C.
    77o
  • D.
    103o
Correct Answer: Option D
Explanation

cos(alpha) = (frac{10}{16}) = 0.625
(alpha) = cos-1(0.625)
= 51.3o
∠PQR = 2(alpha)
= 2(51.3o)
= 102.6
= 103o

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