Finding the angle between a wall and a broken rope

AI Thread Summary
The discussion focuses on finding the angle between a wall and a broken rope, highlighting the challenge of insufficient information for solving the problem. A trapezium is formed in the initial approach, but a simpler solution involving a sine equation is discovered. The use of trigonometric functions in a right triangle is emphasized, though clarity on calculating the angle α remains elusive. A method is suggested where a straight line is extended from the right rope to the wall, equating its length with the left part of the rope. This approach allows for the application of trigonometry using the hypothenuse formed by the rope's total length.
bolzano95
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Homework Statement
The following problem is to find an angle α
Relevant Equations
α=?
I tried to work out the solution using h. I get a trapezium, but there is always a lack of additional information. I looked up the solution and BAM, there is this simple equation for sinα.
I really don't understand how do we get such a solution. I leaned you can use trigonometric functions in a right triangle, but here I really don't get it how to work out α.
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Make a straight line continuing the right rope to the left until it hits the wall. This continuation has the same length as the left part of the rope. This line and the right part of the rope together therefore has the same length as the entire rope. Use trigonometry with this as the hypothenuse.
 
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