The maintenance manuals for the B757 and B767 shows a hazardous area infront of the engine of approx 9feet in radius at idle power, extending to 16ft at breakaway. The more dangerous end in my opinion is the hot end,the exhaust, with very fast hot air, creating a hazardous area over 400ft behind the aircarft.
There is a safe entry corridor to get access to the engine when running, usually reached down the centreline of the belly of the aircraft, then walking at 90 degerees to the engine, staying away from the intake, this allows maintenance staff to carry out tasks such as manual starts and leak checks on the core of the engine, at idle power only.
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Yeap, yor right Captain, it is broken..I'll get you an engineer