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
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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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