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Circles

Question
CBSEENMA10008311

A balloon is connected to a meterological ground station by a cable length 215 m inclined at 60° to the horizontal determine the height of the baloon leave the ground. Assume that there is no slack in the cable.

Solution

Let AC the cable which is inclined at 60° to the horizontal
Here, we have
AC = 215 m and ∠ACB = 60°
Now, In right triangle ACB.
Sin space plus 0 space equals space AB over AC
rightwards double arrow fraction numerator square root of 3 over denominator 2 end fraction equals AB over 215
rightwards double arrow space AB space equals fraction numerator 215 cross times square root of 3 over denominator 2 end fraction
rightwards double arrow space AB space equals space fraction numerator 215 cross times 1.732 over denominator 2 end fraction
rightwards double arrow space space space straight h space space equals space 186.19 space straight m

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