A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at 60° to the horizontal. Determine the height of the balloon from the ground. Assume that there is no slack in the cable.
In the fig. Let AB be the height of the balloon.
In ∆ABC
sin 60° = 
= 
2h = 215√3
h = 
⇒ 186.19 m.
Therefore height of balloon from the ground is 186.19 m.
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