5) A kite is flying at a height of 60 m from the ground. The string
makes an angle 30' from the horizontal ground. Find the length of
the string.
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7
Answer:
P is the position of the kite. Its height from the point Q (on the ground)=PQ=60m
Let OP=l be the length of the string
∠POQ=60
o
(given)
sin(Θ)=
Hypotenuse
Opposite
Now,
OP
PQ
=sin60
o
⇒
l
60
=sin60
o
=
2
3
⇒
l
60
=
2
3
⇒ l=
3
3×2×20
m
⇒ l=40
3
m
The length of the string is 40
3
m
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