Question

An electric pole is $10$ m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole up right. If the wire makes an angle of ${45}^o$ with the horizontal through the foot of the pole, find the length of the wire.

Answer 1

Let $AB=10=$ Height of Pole

and $AD$ be the length of the wire

From $△ABD$

$\sin {45}^o=\frac{AB}{AD}\Rightarrow \frac{1}{\sqrt{2}}=\frac{10}{AD}\Rightarrow AD=10\sqrt{2}$

$\Rightarrow 10\times 1.414$ $(Take\sqrt{2}=1.414)$

$=14.14m$