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A girl on top of a storey building 36m high dropped a N10.00 note on...

Mathematics
NECO 2002

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

  • A. 20.64m
  • B. 29.48m
  • C. 44.49m
  • D. 49.55m
  • E. 62.76m
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Correct Answer: Option E
Explanation

make a sketch

using trig.ratios

Sin\(\theta\) = \(\frac{opp}{hyp}\)

Sin35 = \(\frac{36}{hyp}\)

hyp = \(\frac{36}{sin35}\) = 62.76m

∴ the distance between the girl and the #10.00 note = 62.76m.

 


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