Lamar is buying a digital camera that regularly costs $55.60. It is on sale for 25% off. If the tax rate is 10%, what is the final cost of the digital camera?

The amount of money Lamar saves on the digital camera, before taxes, is 55.60 * 0.25 = $<<55.60*0.25=13.90>>13.90.

The price of the digital camera after the discount is 55.60 - 13.90 = $<<55.60-13.90=41.70>>41.70.
The amount of taxes Lamar pays on the camera is 41.70 * 0.10 = $<<41.70*0.10=4.17>>4.17.
The final cost of the digital camera is 41.70 + 4.17 = $<<41.70+4.17=45.87>>45.87. Answer: \boxed{45.87}.