You want to erect a pole of height 10m with the support of three ropes.each rope has to make an angle 30° with a pole.what should be the total length of the rope required.
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Answer:
Height of the pole =10m
Let the length of each rope =xm
Angle made by the rope with the pole 30
∘
From the figure
cos30
∘
=
x
10
⇒
2
3
=
x
10
⇒x=
3
10×2
∴x=
3
20
∴ The length of each rope =
3
20
m
∴ Total length of the rope =3×
3
20
=20
3
=20×1.732=34.64m
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