My phone is broken and I cannot select the trust button or enter my passcode. I need to get the photos off it is there a way around it?

My phone is broken - the screen does not come on but it still registers when it is connected to my computer?

My phone has not been backed up for weeks as I have been away travelling for the past 4 months. I have alot of pictures on it, is there anyway to bypass the trust button which I need to select on my phone (which I obviously can't do) to allow itunes to connect to it and allow me to get my pictures off.

Please help, I know it is a itunes security measure but there must be a way.

Thanks,

Gemma