Question

A wire is attached from a point A on the ground to the top of a pole BC. making an angle of elevation as 60°. If AB = `5sqrt(3)` m. then length of the wire is

विकल्प

• 10 m

• `10 sqrt(3)  m`

• 15 m

• `5/2 sqrt(3)  m`

Answer 1

`bb(10 sqrt(3) m)`

Explanation:

Given:

Distance `AB = 5sqrt(3)  m`

Angle ∠A = 60°

Let the length of the wire be AC.

`cos 60^circ = (AB)/(AC)`

`1/2 = (5sqrt(3))/(AC)`

`AC = 2 xx 5sqrt(3)`

`AC = 10sqrt(3)  m`

The length of the wire is `10sqrt(3)  m`.