at a certain time of day, a building casts a 25-foot Shadow. At the same time a six-foot-tall shop Line cast a 15 ft Shadow. How tall is the building in feet?

Question

Mathematics

Kirsten Decker

8 March, 19:53

at a certain time of day, a building casts a 25-foot Shadow. At the same time a six-foot-tall shop Line cast a 15 ft Shadow. How tall is the building in feet?

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Answers (1)

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Alicia Huber · Answer 1

10 feet. It doesn't look right, but in fact it is.

Step-by-step explanation:

Set up a proportion. Be sure and put the unknown in the numerator. That way you avoid cross multiplication

Let the building's height be x.

x/25 = 6/15 Multiply both sides by 25

25 * (x / 25) = 25 * (6/15) Cancel what is common on the right.

x = 5 (6/3) Divide 6/3

x = 5 (2)

x = 10