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Find the value of x in the figure above

Mathematics
JAMB 2004

Find the value of x in the figure above

  • A. 15\(\sqrt{6}\)
  • B. 20\(\sqrt{6}\)
  • C. 3\(\sqrt{6}\)
  • D. 5\(\sqrt{6}\)
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Correct Answer: Option D
Explanation

\(\frac{X}{\sin 45^\circ} = \frac{15}{\sin 60^\circ}\)

\(X = \frac{15 \sin 45^\circ}{\sin 60^\circ}\)

\(X = \frac{15 \times \left( \frac{1}{\sqrt{2}} \right)}{\sqrt{\frac{3}{2}}}\)

\(X = \frac{15}{\sqrt{2}} \times \frac{2}{\sqrt{3}}\)

\(X = \frac{30}{\sqrt{6}}\)

\(X = \frac{30}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} = \frac{30\sqrt{6}}{6} = 5\sqrt{6}\)


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JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
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