Question 929106
{{{drawing(300,300,-10,10,-10,10,
blue(line(-7,-4,4,8)),
line(4,-4,4,-3),
line(4,-3,3,-3),
line(3,-3,3,-4),
line(3,-4,4,-4),
green(line(-7,-4,4,-4)),
locate(-5,-2.5,75),
locate(-1,-4,50 ft),
locate(4.5,3,H),
line(4,-4,8,-4),
line(8,-4,8,8),
line(8,8,4,8),
line(4,8,4,-4))}}}
The diagram shows that the shadow (green), the building (black), and the length from the shadow to the building (blue) form a right triangle.
{{{tan(75)=H/50}}}
{{{H=50tan(75)}}}
{{{H=50(3.73)}}}
{{{H=186.6}}}{{{ft}}}