Let the unknown height in feet be represented by #color(red)(x) #
Using fraction format of ratios we have:
#color(white)("dddd")color(green)(("height in feet")/("height in metres") ->1/0.3048color(white)("d") =color(white)("d")color(red)(x)/2549.652)#
Multiply both sides by 2549.652 giving:
#color(white)("ddddddddddd")color(green)(1/0.3048xx2549.652color(white)("d")=color(white)("d")color(red)(x) xx 2549.652/2549.652)#
But #2549.652/2549.652=1# giving:
#color(white)("dddddddddddddddddd")color(green)(2549.652/0.3048color(white)("d") =color(white)("d")color(red)(x)color(white)("d")color(white)("d") =color(white)("d") 8365" feet")#