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A balloon is connected to a meteorological ground station by a cable of length 215m inclined at 60° to the horizontal. Determine the height of the balloon from the ground. Assume that there is no stack in the cable

Posted by Deepak Kumar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let height of balloon from ground = h m
Length of cable {tex}= 215 m{/tex}
In {tex}\Delta ABC{/tex}
{tex}\sin {60^o} = \frac{{AB}}{{AC}}{/tex}
{tex} \Rightarrow \frac{{\sqrt 3 }}{2} = \frac{h}{{215}}{/tex}
{tex} \Rightarrow h = \frac{{215\sqrt 3 }}{2}{/tex}
{tex} \Rightarrow h = \frac{{215 \times 1.73}}{2} = 185.9{/tex}

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