A balloon is connected to a meteorological station by a cable of length 200m, inclined at 60° to the horizontal. Determine the height of the balloon from the ground, assuming that there is no slack in the string. ( Take √3 = 1.73)
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Let C be the position of the meteorological station, B be the position of the balloon and CB be the cable.
Let the height of the balloon from the ground be AB=h metres.
From the ΔACB
BC
AB
=sin60
∘
⇒
200
h
=
2
3
⇒h=200×
2
3
⇒h=100
3
∴h=100×1.732=173.2
3
=1.732]
Hence, the height of the balloon above the ground is 173.2m