a rope dancer was walking on a loose roop tied to the top of two equal post of height 9m. when he was 3m above the ground, it was found that stretched pieces of roop made angle of 30 degree and 60 degree with the horizontal line parallel to the ground. find the length of the rope

3 answers

This one would require you to draw a diagram to understand the solution.

Two triangles will be formed. Each of them will have the hypotenuse as the rope, a second side (height) as one of the two posts, and a third imaginary side as the base.

Both lengths along the post are 6m (9m-3m)

Now, you can find the lengths of the two stretched pieces of rope using the given angles and the 6m side:

Hypotenuse = Height / sinθ

a) First piece = height / sin30
= 6 / (1/2)
= 12 m

b) Second piece = height / sin60
= 6 / (√3/2)
= 12/√3m
= 4√3 m

Total length = 12 + 4√3 m

Please add a figure

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