Question

You what to errect a pole of height 10mt. With the support of three ropes each rope has to make an angle 30° with the horizontal what should be the total length of the rope required ?

Answer 1

Here's the answer !!

Refer to the attachment for diagram.

Let the pole be AB. This implies AB = 10 m.

Let the length of rope be the hypotenuse. This implies Rope length = AC = ?

So if we find the length of rope and multiply it by 3, we get the total rope length.

Let ∠ A = 30° 

=> Cos 30° = Adjacent / Hypotenuse

=> √3 / 2 = 10 / Rope length

=> Rope length = 10 * 2 / √3

=> Rope length = 20 / √3 m

Hence the measure of one rope is 20 / √3 m.

So the measure of three ropes = 3 * 20/√3 = 34.64 m.

Hence the total length of ropes is 34.64 m.