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