A 8-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 9 feet long. How tall, in feet, is the utility pole?

 36 feet

Work Shown:

(sign height)/(sign shadow) = (pole height)/(pole shadow)

8/2 = x/9

8*9 = 2*x ... cross multiply

72 = 2x

2x = 72

x = 72/2 ... divide both sides by 2

x = 36

The utility pole is 36 feet tall.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.