das is similarity
the 2 triangles are similar because of math ( don't remember which theorem or whatever)
so since similar
we have to find the bottom length
use right triangle properties
a²+b²=c²
14²+5.5²=c²
196+30.25=c²
226.25=c²
√226.25=c
ten, we do similarity
the hyptonuse of smaller triangle to base of smaller triangle is √226.25:5.5
since the triangles are similar, that should be equal to the ratio of the hypotonuse of the largger triangle to the base, which is x:√226.25
so
x/√226.25=√226.25/5.5
times both sides by √226.25
x=226.25/5.5
x≈41.1363636
the height of screen is 6 less than total
41.13636-6=35.13636
height of screen is about 35ft