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WAEC - Mathematics (2001 - No. 37)

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ∠PQR
51o
64o
77o
103o

解释

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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