Solve the right triangle shown in the figure. bc=3.2m

Hi! I tried solving this problem. Since we only have one side and one sure angle measurement. I tried dividing the right triangle into two smaller right angles and solved each side measurement. 

The initial 90° angle became 45°, another angle is 90° so the remaining unknown angle is 45°.

The 3.2m became the measure of the hypotenuse and I used it to solve for the opposite side of the 45° angle using the sin theta formula. I also used the tan theta formula to solve the other side of the right triangle.

In the end, side AB is 4.52 m , side BC is 3.2 m, and side CA is 3.2 m.

Pls. see attachment for my diagram and solution.