McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Preparing for Standardized Tests
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Exercise 1 Page 269

The shadow of an object is always proportional to the height of the object.

86.7 ft

Practice makes perfect
We are given that a 26-foot high billboard casts a 4.5-foot shadow. Using this information, we will find the height of a building which casts a 15-foot shadow. Let x be the height of the building.
The shadow of an object is always proportional to its height. We can use this to create a proportion. shadow height = shadowheight ⇒ 4.5 26 = 15x Let's now solve the resulting equation.
4.5/26=15/x
Solve for x
4.5x/26=15
4.5x= 390
x = 390/4.5
x= 86.66666 ...
x ≈ 86.7
The building is approximately 86.7 feet tall.