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° with the horizontal through the foot of the pole, find the length of the wire.

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° with the horizontal through the foot of the pole, find the length of the wire.

Let the length of the wire = l (m)

In ∆ABC,

Sin 45° =

=

l ⇒ 10√2 m

⇒ 10x1.41

⇒14.1 m

Therefore Length of wire is 14.1 m

4