At a certain time of day, a flagpole casts a 9.0 -foot-long shadow and a nearby 4.0 -foot-tall fence post casts a 2.4 -foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?
Correct answer: H
Explanation from ACT Education Corp.
This question also appears in ACT QuizMe official practice questions, which explains every answer choice.
F. Incorrect. The flagpole height, x, and its shadow length are proportional to the fence post height and its shadow length. When you are setting up the proportion, be sure to create fractions that relate the corresponding parts of each object. You may have set up and solved for .
G. Incorrect. The flagpole height, x, and its shadow length are proportional to the fence post height and its shadow length. Try setting up a proportion using fractions that relate the corresponding parts of each object. You may have calculated .
H. Correct. The flagpole height and its shadow length are proportional to the fence post height and its shadow length. Let x represent the flagpole height and set up the proportional relationship equation . Then, multiply both sides of the equation by 4.0 to calculate the height of the flagpole: .
J. Incorrect. The flagpole height, x, and its shadow length are proportional to the fence post height and its shadow length. Try setting up a proportion with fractions that relate the corresponding parts of each object. You may have simply added all the given values: .
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