Çözüldü Similar Triangles - Thales Theorem - Factoring

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?

F. 5.4
G. 10.6
H. 15.0
J. 15.4

https://www.act.org/content/dam/act/secured/documents/Preparing-for-the-ACT.pdf
(Page 30, Question 20, Answers: Page 74)

4 / 2.4 = h / 9 ⇒ h = 360 / 24 = (12·30) / (12·2) = 30 / 2 = 15 feet.