Question

Antonio is 6 feet tall and casts a 8 foot shadow. At the same time, a flagpole casts a 40 foot shadow. How tall is the flagpole?

Answer 1

The height of the flagpole is 30 feet.

Step-by-step explanation:

To find the height of the flagpole, we can set up a proportion using the given information.

We know that Antonio's height of 6 feet corresponds to an 8-foot shadow, so we can write the proportion as: height of flagpole / shadow of flagpole = height of Antonio / shadow of Antonio.

Plugging in the values, we get: height of flagpole / 40 = 6 / 8.

Cross multiplying and solving for the height of the flagpole gives us:

height of flagpole = (40 * 6) / 8

= 30 feet.