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PQRS is a rhombus of side 16cm The diagonal QS ... - WAEC Mathematics 2001 Question

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 option: d

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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