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 30° 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. \(\frac{10\sqrt{3}}{3}m\)
Correct Answer: C. \(\frac{5\sqrt{3}}{2}m\)
Explanation
cos 30 = \(\frac{adj}{hyp}\)
cross multiply:
adj = cos 30 X 5
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