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?
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A.
\(\frac{5\sqrt{2}}{3}m\)
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B.
\(2\frac{1}{2}m\)
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C.
\(\frac{5\sqrt{3}}{2}m\)
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D.
\(\frac{10\sqrt{3}}{3}m\)
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E.
\(10\sqrt{3}m\)
Correct Answer: Option C
Explanation
cos 30 = \(\frac{adj}{hyp}\)
cross multiply:
adj = cos 30 X 5
= 5 \(\frac{√3}{2}\)
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