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http://204.108.4.16/d-tpp/0612/00297IL3.PDFOn a bad day they're wrong. Always plan for the bad day.
Ogden doesn't have much of a sloping runway, and the mountains aren't very close to the airport...plenty of time to turn. The mountains aren't really an obstacle there, as you're not going to climb over them (or shouldn't try)...you're going to turn after takeoff. I've been in and out of there in some minimal performance aircraft (100 fpm max) without any worries regarding terrain (or slope, for that matter).
If you have the excess runway available, it probably isn't a big deal.
Did you calculate the performance going both ways before arguing with the captain? How much experience in type, and total experience do you have...and how much experience above sea level do you have.
Not to pry, but you sound uncomfortable flying out of a place like Ogden, which is wide open and an easy airport...you may want to do as FL420 directed and run the numbers before disagreeing with the captain. If you have good grounds, by all means speak up then. Curious about your numbers.
avbug i'll show you mine if you shom me yours
but when we took off we maybe had 20 feet over the departure end. granted the airplane we fly is 40 plus years old and might not still be able to do what the book claims.