Question

A steel wire tied to the top of an electric pole is affixed at a point in the ground at distance of 6m from the foot of the pole .If the wire makes am angle of elevation of 60degree .Find the length of the wire

Answer 1

Length of wire is 12m. Steps are included in the attachment. Refer tht

Answer 2

Answer:

The length of the wire is 12 meters.

Step-by-step explanation:

Let AB represents the length of wire, BC represent the distance from the point at which the wire is tied up to the ground to the foot of the pole and AC represents the height of the pole,

Given,

BC = 6 meters,

∠ABC = 60°,

∵ Pole is supposed straight with respect to the ground,

i.e. ∠ACB = 90°,

By the trigonometric ratio,

$\cos 60^{\circ}=\frac{BC}{AB}$

$\frac{1}{2}=\frac{6}{AB}$

$\implies AB = 12$

Hence, the length of the wire is 12 meters.