Mathematics
WAEC 1999
A pole of length L leans against a vertical wall so that it makes an angle of 60
o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.
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A.
\(16\sqrt{3}m\)
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B.
\(4\sqrt{3}m\)
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C.
\(\frac{\sqrt{3}}{16}\)
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D.
\(\frac{16\sqrt{3}}{3}\)
Correct Answer: Option D
Explanation
\(sin 60 = \frac{8}{L} = 8 \div \frac{\sqrt{3}}{2}; L = \frac{8}{sin 60}=\frac{16}{\sqrt{3}}\)
When we rationalize gives \(\frac{16\sqrt{3}}{3}\)
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