A 12-foot tall house casts a shadow that is 9 feet long. At the same time, a nearby flag pole casts a shadow that is 15 feet long. How tall is the flag pole to the nearest foot?

The answer is 20ft

Step-by-step explanation:

Since they both cast shadows at the same time, the ratios of their height to their respective shadow length will be the same.

Hence; we'll equate both ratios to find the length.

House = 12/9

Flag pole = h/15

Equating both:

12/9 = h/15

h x 9 = 12 x 15

h = 180/9

h = 20ft

Step-by-step explanation:

From the question above, we are told to find the height of a pole that is next to a house 12 feet tall and casts a shadow that is 9 feet long and the shadow that was casted by the pole is also 15 feet long.

Let's assume that the height of the pole to be x

12/x = 9/15

Cross multiply the above so that we can have the value of x (x is the height of the pole)

X = 12 * 15 : 9

X = 180/9

X = 20

X, which is the height of the pole, is 20 feet long