A water tower casts an 100 ft shadow. At the same time a 8 ft street sign casts a 6 ft shadow. what is the height of the tower?

Respuesta :

we can set this into a proportion

6      100
--- = -----
8        x

then cross multiply and divide

8 times 100 =800 divided by 6 = 133

the height is 133

Height of the tower is 133.34 foot.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other.

According to the question

A water tower casts an 100 ft shadow. At the same time a 8 ft street sign casts a 6 ft shadow.

From the figure, we can write

Using proportion,

AD : AB = AE : AC

8 : x = 6 : 100

[tex]\frac{8}{x}= \frac{6}{100}[/tex]

[tex]x=\frac{8 \times 100}{6}[/tex]

[tex]x = 133.34 \ foot[/tex]

Height of the tower is 133.34 foot.

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