SOLUTION: A ray of light passing through the pont (1,2) reflects on the x axis at point A and the reflected ray passes through the point (5,3) find the corrdinates of A.

Algebra ->  Permutations -> SOLUTION: A ray of light passing through the pont (1,2) reflects on the x axis at point A and the reflected ray passes through the point (5,3) find the corrdinates of A.      Log On


   



Question 940085: A ray of light passing through the pont (1,2) reflects on the x axis at point A and the reflected ray
passes through the point (5,3) find the corrdinates of A.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The angle each ray makes with the x-axis is the same so you can build two triangles.
The tangent of the common angles is given by the y-coordinate divide by the x-coordinate.
Let the coordinates of A be (x,0).
2%2F%28x-1%29=3%2F%285-x%29
2%285-x%29=3%28x-1%29
10-2x=3x-3
-5x=-13
x=13%2F5
A:(13%2F5,0)