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



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