If a rope is tied at an angle of 60
o
, then the ratio of the length of the
rope to the length of the pole i
Answers
Given : a rope is tied at an angle of 60°
To Find : the ratio of the length of the rope to the length of the pole
Solution:
rope is tied at an angle of 60°
case 1 : angle of 60° is with ground / Horizontal
Then
Sin 60° = length of pole / Rope length
=> √3 / 2 = length of pole / Rope length
=> Rope length / length of pole = 2/√3
ratio of the length of the rope to the length of the pole is 2 : √3
Case 2 : angle of 60° is with vertical pole
Then
Cos 60° = length of pole / Rope length
=> 1 / 2 = length of pole / Rope length
=> Rope length / length of pole = 2
ratio of the length of the rope to the length of the pole is 2 : 1
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