Question

A kite is flying at a height of $75$ meters from the ground level, attached to a string inclined at ${60}^o$ to the horizontal. Find the length of the string nearest to the ground.

Answer 1

Let $AB=75=$ Height of Pole
and $AD$ be the length of the wire
From $△ABD$
$\sin {60}^o=\frac{AB}{AD}\Rightarrow \frac{\sqrt{3}}{2}=\frac{75}{AD}\Rightarrow AD=\frac{150}{\sqrt{3}}$

$\Rightarrow \frac{150}{1.73}$ $(Take\sqrt{3}=1.73$)

$=86.6m$