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
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: .
Loading…
Searched on YouTube by reporting category, not by question text. Open this search on YouTube →
ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.