Physics help about lasers?

Question

I have a physics problem that I think is impossible. There is a square room with one wall missing on the bottom (from a top view) and the other walls are mirrors. There is a laser at the midpoint of the side with no wall. On the wall to the right at the midpoint, there is a target. I want to shoot the laser to the wall at the left and one-bounce it to the target. I'm supposed to use trigonometry to figure out the angle at which it was fired. I'm not give any measurements. To do what I want, the laser needs to be fired less than a quarter of the way up the left wall, which introduces a ton of ambiguity.

I've tried drawing triangles but because I don't know the measurement of the point at which the laser first bounces, so I don't think I can figure it out. I'm sorry if this is confusing. If anyone knows anyway of figuring this out, like a formula or something, please let me know. Thanks.

Answer 1

You want it to go all the way to the left wall then reflect back to the right wall (horizontal distance of 1.5 times the length of a side), while going 0.5 times the length of a side (vertical).

So the angle needs to be:

angle = sin^-1{(0.5)/(1.5)}

sin^-1 (1/3) = 19.47 degrees (up from left)

It'll hit the left wall 1/6th of the way up.

Answer 2

its all 45 degree angels