Mathematics
JAMB 1985
In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)
o
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A.
\(\frac{4}{39}\)
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B.
\(\frac{43}{39}\)
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C.
\(\frac{209}{3}\)
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D.
\(\frac{43}{78}\)
Correct Answer: Option D
Explanation
cos\(\theta\) = \(\frac{13^2 + 9^2 - 11^2}{2(13)(9)}\)
= \(\frac{169 + 81 - 21}{26 \times 9}\)
cos\(\theta\) = \(\frac{129}{26 \times 9}\)
= \(\frac{43}{78}\)
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