me assume yer problem assume yu hav a strate line raelrode trak from Rome
tu Florens. So yu hav a triangel & traen go along the diagonal.
triangel base=30+25=55, with Rome at left end.
triangel hite=the north part...45 miles north tu Florens.
shortest distans be a perpendikular line from diagonal tu the rite angel.
step 1,,,get abgek frin base av duagibak,,,tangent(angel)=45/55=0.08181818181..
invers tangent giv angel=39.28940686250036 deg.
perpendikular line hav 90deg angel at diagonal line, base=39.2894...,
so angel on rite side weer perpend line hit base =90-392894....deg
=50.7105931375 deg
Base be diagonal av this triangel, so line leng=base*kosine(50.7105931375)
kosine(50....)=0.6332377902572627
times 55=34.82807846415 miles
or bout 34.8