You want to erect a pole of height 10 m with the support of three ropes. Each rope has
to make an angle 30° with the pole. What should be the length of the rope?
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Answer:
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 !!
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