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A ladder 6m long leans against a vertical wall at an angle 53º to the...

Mathematics
WAEC 2022

A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?

  • A. 3.611m
  • B. 4.521m
  • C. 4.792m
  • D. 3.962m
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Correct Answer: Option C
Explanation

Sin θ = \(\frac{opp}{hyp}\) → \(\frac{x}{6}\)

cross multiply:

sin53º * 6 = x

0.7986 * 6

 4.792m

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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts