Q. 374.4( 11 Votes )

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.

Answer :

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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