If it is a standpipe/landing valve for fire department use, make the
rationale argumment that the fire brigade will bring their own fire pump to
the job, and hence they will be able to pressurize the nozzle such that the
hose stream reaches 39 ft up.

If it is an occupant use hose stream to defeat the fire before fire brigade
arrival, then you need to use your Bernoulli equation.  Take worse-case,
straight up nozzle.  If that doesn't work, you need not consider angles.

IF you search the archives, I am confident you will find someone that has
worked this exact problem out.  Consider a safety factor.

Scot Deal
Excelsior Fire Engineering
gsm:  +420 722 141 478  GMT+1
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