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 balloon leave the ground. Assume the there is no slack in the cable.

$left parenthesis straight a right parenthesis space space 215 over 2 straight m space space space space space space space space space space left parenthesis straight b right parenthesis space 215 square root of 3 straight m space space space space space space space space space space left parenthesis straight c right parenthesis space fraction numerator 215 square root of 3 over denominator 2 end fraction straight m space space space space space space space left parenthesis straight d right parenthesis space 215 space straight m$

Solution

sin space 60 to the power of 0 space equals space straight h over 215 rightwards double arrow fraction numerator square root of 3 over denominator 2 end fraction equals straight h over 215 rightwards double arrow fraction numerator 215 square root of 3 over denominator 2 end fraction straight m space Ans. space space left parenthesis straight c right parenthesis

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