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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. 51o
  • B. 64o
  • C. 77o
  • D. 103o
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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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