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A ladder 9m long leans against a vertical wall, making an angle of 64° with the...

Mathematics
WAEC 1988

A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ground. calculate correct to one decimal place, how far the foot of the ladder is from the wall.

  • A. 4.0m
  • B. 5.8m
  • C. 7.1m
  • D. 8.1m
  • E. 18.5m
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Correct Answer: Option A
Explanation

cos 64° = x/9
x = 9 cos 64°
=3.94 ≅ 4.0m


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