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A ladder 5cm long long rest against a wall such that its foot makes an...

Mathematics
WAEC 1998

A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall?

  • A. \(\frac{5\sqrt{2}}{3}m\)
  • B. \(2\frac{1}{2}m\)
  • C. \(\frac{5\sqrt{3}}{2}m\)
  • D. \(\frac{10\sqrt{3}}{3}m\)
  • E. \(10\sqrt{3}m\)
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Correct Answer: Option C
Explanation

Open photo

cos 30 = \(\frac{adj}{hyp}\)

cross multiply:

adj = cos 30 X 5 

= 5 \(\frac{√3}{2}\)


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