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^\circ, how far is the money from the girl?
A
20.64m
B
29.48m
C
44.49m
D
49.55m
E
62.76m
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
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.
Source: Myschool Past Questions Archive (Record #42205)