Question

You want to erect a pole of height 10 metres with the support of three ropes. Each rope has to make an angle 30 degree with the pole. What should be the length of the rope ?

Answer 1

Hey mate !!

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.

Hope my answer helps !!

Cheers !!

Answer 2

Answer:

Step-by-step explanation:

Let the pole be AB.  AB = 10 m.

Let the length of rope be the hypotenuse. 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° 

=> Sin30° = Oppsite/ Hypotenuse

=> 1 / 2 = 10 / x

=> x = 20

=> Rope length = 20 m

The measure of one rope is 20 m.

The measure of three ropes = 3 * 20 = 60 m.

The total length of ropes is 60 m.

its wrong can u suggest correct ans