Find angle from velocity and more (ramp)

AI Thread Summary
To solve the ramp problem, the angle can be determined using the lengths of the hypotenuse and the adjacent side. The discussion highlights confusion regarding the provided measurements, particularly questioning if the adjacent side is indeed 5m. Additionally, the velocities of an object sliding down the ramp, recorded at 1.91m/s after 5m and 6.37m/s after 8.5m, are mentioned as relevant data. Clarification on the complete question is requested to assist in finding the angle accurately. Understanding the relationship between the sides and the angle is crucial for solving the problem effectively.
BillNyDaSiGuy
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I'm puzzled to where i start on this ramp problem.

The picture (attachment) has all the following information.

I'm trying to find the following angle in purple (in the picture attachment)
 

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BillNyDaSiGuy said:
I'm puzzled to where i start on this ramp problem.

The picture (attachment) has all the following information.

I'm trying to find the following angle in purple (in the picture attachment)
Well, you have the lengths of the hypotenuse and the side adjacent to the angle. What quantity do you know that links the hypotenuse and adjacent sides to the angle?
 
The question is badly presented and I don't think the adjacent side equals 5m.My guess is that there is an object which slides down reaching a velocity of 1.91m/s after 5m and 6.37m/s after 8.5m.
 
BillNyDaSiGuy said:
I'm puzzled to where i start on this ramp problem.

The picture (attachment) has all the following information.

I'm trying to find the following angle in purple (in the picture attachment)

The picture doesn't do much for me. Perhaps you could copy, or at least re-type VERY carefully the actual question. The complete question, not a summary.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...

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