Answered

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A water tower casts a shadow that is 21 ft long. A 10 ft tall tree casts a shadow that is 8 ft long. What is the height of thewater tower?

Sagot :

Assume that the height of the tower is x

Since the shadow of x is 21 feet

Since the shadow of 10 feet is 8 feet

By using the equal ratio between the actual heights and their shadow

[tex]\frac{x}{21}=\frac{10}{8}[/tex]

By using the cross multiplication

[tex]\begin{gathered} x\times8=10\times21 \\ 8x=210 \end{gathered}[/tex]

Divide both sides by 8 to find x

[tex]\begin{gathered} \frac{8x}{8}=\frac{210}{8} \\ x=26.25\text{ f}eet \end{gathered}[/tex]

The height of the tower is 26.25 feet

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