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

MATHEMATICS
WAEC 2022

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

  • A. 3.611m
  • B. 4.521m
  • C. 4.792m
  • D. 3.962m

Correct Answer: A. 3.611m

Explanation

Cos θ = \(\frac{adj}{hyp}\) → \(\frac{x}{6}\)

cross multiply:

Cos 53º * 6 = x

0.6018 * 6

3.611m



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