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A ladder 16m long leans against an electric pole. If the ladder makes an angle...

Mathematics
WAEC 2006
A ladder 16m long leans against an electric pole. If the ladder makes an angle of 65o with the ground, how far up the electric pole does its top reach
  • A. 6.8m
  • B. 14.5m
  • C. 17.7m
  • D. 34.3m
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Correct Answer: Option B
Explanation
Sin 65o = \(\frac{x}{16}\)

x = 16x sin 65

= 16 x 0.9063

x = 14.5m
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