Respuesta :

The lower triangle with sides 15 ft , 20 ft and c is a right triangle. The hypotenuse measures c.
Use the Pythagorean theorem to find c.

15^2 + 20^2 = c^2

225 + 400 = c^2

c^2 = 625

c = 25

Side c measures 25 ft.

The two triangles are similar, so the lengths of corresponding sides are proportional.

120/20 = d/15

6 = d/15

d = 90

Length d is 90 ft.