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

MATHEMATICS

WAEC 2001

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

A. 51°
B. 64°
C. 77°
D. 103°

Correct Answer: D. 103°

Explanation

cos\(\alpha\) = \(\frac{10}{16}\) = 0.625

\(\alpha\) = cos^-1(0.625)

= 51.3^o

?PQR = 2\(\alpha\)

= 2(51.3^o)

= 102.6

= 103^o

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