The change of attitude required when going from the full power 'climb' to the no power 'glide' is more than most folks realise. We don't practice 300' engine failures (much) because it's obviously more dangerous than 500-750' ones.
On my EFATO skills test, the throttle was pulled at around 200 feet. Only option was a 30 degree turn left to a small field to which I headed. I passed. It could not have been more than a few micro-seconds. No matter how much you plan for it, there is precious little time. My examiner was is one of the best. So sorry for the outcome of this one.