A new bridge structure requires triangles that are in a ratio of 1:1.

Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C, and angles A and E are right angles.

If AC = 2x + 6 and EC = 5x − 9, find the distance between the top and bottom of the bridge, in feet.

a
16 ft

b
30 ft

c
32 ft

d
40 ft