At the same time that a flagpole casts a 4.5 m shadow , a meter stick casts a 1.5 m shadow. How tall is the flagpole ?

Use a proportion:

1/1.5 = x/4.5

Cross multiply and solve for x.

X=3

A meter stick casts a shadow 1.5 meters long at the same time a flagpole casts a shadow 18 meters long. The triangle formed by the meter stick and its shadow is similar to the triangle formed by the flagpole and its shadow.

To find the height of the flagpole, we can use a proportion. Let's set up the proportion using the given information:

Flagpole height / Flagpole shadow length = Meter stick height / Meter stick shadow length

Let's plug in the values we know:

Flagpole height / 4.5 m = 1 m / 1.5 m

Now, to solve for the flagpole height, we can cross-multiply:

Flagpole height = (1 m / 1.5 m) * 4.5 m

By simplifying the expression, we get:

Flagpole height = 3 m

Therefore, the flagpole is 3 meters tall.