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Circles

Question
CBSEENMA10008358
Wired Faculty App

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 60 space equals space AB over AC rightwards double arrow space space space fraction numerator square root of 3 over denominator 2 end fraction equals AB over 215 rightwards double arrow space space space space space AB thin space equals space fraction numerator 215 cross times square root of 3 over denominator 2 end fraction rightwards double arrow space space space space space AB space space equals space fraction numerator 215 cross times 1.732 over denominator 2 end fraction rightwards double arrow space space space space space space straight h space space space equals space 186.19 space straight m

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In the following figure, what are the angles of depression from the observing positions O1 and O2 of the object at A?

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