What is the solution to this inclined plane problem?

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The discussion focuses on solving an inclined plane problem involving the angle of inclination. Participants suggest using the principles of conservation of energy, equating kinetic energy at the bottom of the ramp with gravitational potential energy at the top to determine the height and angle. Another approach mentioned is calculating the block's acceleration using distance and final speed. A free body diagram (FBD) is also referenced as a helpful tool for visualizing forces acting on the block. Overall, the conversation emphasizes applying physics concepts to find the solution.
drdevil52
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Homework Statement


This problem asks for the angle on an inclined plane-- I have attached the problem below.

Homework Equations


fnet=ma

The Attempt at a Solution


I honestly have no idea what to do. I found the vector components for gravity and made a FBD for the box, but I can't really figure out what the next step is.
 

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    Screen Shot 2016-06-26 at 7.23.49 PM.png
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Are you familiar with conservation of energy? You can find the kinetic energy of the block at the bottom of the ramp, this must be equal to the gravitational potential energy at the top of the ramp, you can solve for the height of the ramp, then find theta using trig.

Alternatively, find the acceleration of the block from the distance and the final speed.
 

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