Question

Please help due tonight

A monument is 315 feet tall.
Suppose a 12-foot-tall pole that
is near the monument casts a
5-foot shadow.
How long
is the
monuments
shadow?

Answer 1

131.25 feet.

Explanation:

We can use the concept of similar triangles to find the length of the monument's shadow.

Since the pole and the monument are casting the shadows, we can assume that the ratio of the height of the pole to the length of its shadow is equal to the ratio of the height of the monument to the length of its shadow.

12/5 = 315/x

Where x is the length of the monument's shadow.

We can cross-multiply and solve for x:

12x = 5315

x = 5*315/12

x = 131.25

So, the length of the monument's shadow is approximately 131.25 feet.