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McGraw Hill Integrated II, 2012 – Preparing for Standardized Tests

86.7 ft

Solution

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
MultEqn

LHS * x=RHS* x

4.5x/26=15
MultEqn

LHS * 26=RHS* 26

4.5x= 390
DivEqn

.LHS /4.5.=.RHS /4.5.

x = 390/4.5
CalcQuot

Calculate quotient

x= 86.66666 ...
RoundDec

Round to 1 decimal place(s)

x ≈ 86.7

The building is approximately 86.7 feet tall.

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