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Find x in the diagram below.

Mathematics
JAMB 1979

Find x in the diagram below.
  • A. 3\(\sqrt{3}\)
  • B. \(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
  • C. \(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
  • D. \(\frac{3 - 1}{\sqrt{3} + 1}\)
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Correct Answer: Option B
Explanation
\(\frac{x + 3}{sin 60^o}\) = \(\frac{x}{sin 306o}\)

3sin 30o = x sin 60o - x sin 30o

= x(sin 60o - sin 30o)

but sin 30o = \(\frac{1}{2}\)

sin 60o = \(\frac{3}{2}\) = \(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post UTME Past Questions Agent
Your School's Whatsapp Group - Join Us now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts