Question

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole if the angle made by the rope with the ground level is 30°.

विकल्प

• 10 m

• 15 m

• 20 m

• 35 m

Answer 1

10 m

Explanation:

Let AB be the vertical pole and CA be the 20 m long rope such that its one end is tied from the top of the vertical pole AB and the other end C is tied to a point C on the ground.

AC = 20 m be the rope which the circus artist is climbing,

`angle "ACB" = 30^circ`

In `Delta "ABC, sin"  30^circ = "AB"/"AC" = "h"/20`

`=> "h"/20 = 1/2 => "h" = 1/2 xx 20  "m" = 10  "m"`