Question

You want to erect a pole of height 10m with the support of three ropes. Each rope has to make an angle
300 with the pole. What would be the total length of the rope required

Answer 1

Answer:

total length of rope is 20√3

Hope it helps

Answer 2

Let the pole be AB. This implies AB = 10 m and AC be the hypotenuse.

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.