Not sure how to solve. Julia uses the shadow of a flagpole to estimate its height. She stands so that the tip of her shadow coincides with the tip of the flagpole's shadow, as shown. Julia is 5 feet tall. The distance from the flagpole to Julia is 28 feet, and the distance from the tip of the shadows to Julia is 7 feet. Calculate the height of the flagpole. a. 13 feet b. 980 feet c. 39 feet d. 25 feet

Question

Mathematics

Rylie Hampton

28 February, 05:06

Not sure how to solve. Julia uses the shadow of a flagpole to estimate its height. She stands so that the tip of her shadow coincides with the tip of the flagpole's shadow, as shown. Julia is 5 feet tall. The distance from the flagpole to Julia is 28 feet, and the distance from the tip of the shadows to Julia is 7 feet. Calculate the height of the flagpole. a. 13 feet b. 980 feet c. 39 feet d. 25 feet

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Steven Kirby · Answer 1

You are going to have to compare the height and shadow of Julia to the height and shadow of the flagpole.

Julia is 5 feet tall with a shadow of 7 feet.

The flagpole is "x" feet tall with a shadow of 35 feet (to get 35, I added 28 feet and 7 feet.)

So, you do 5/7 = x/35

You cross multiply and get 175 = 7x

Then, divide by 7 and you get 25.

25 feet is the height of the flagpole, so it would be option "D".