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Logan wants to determine the height of an electric pole in her back yard. The pole is casting a shadow of 12 feet. Her friend is five feet tall and is casting a shadow of 2 feet. Draw a picture to determine the similar triangles. (a) What is the height of the electric pole? (b) What proportion can be used to solve the problem?

Answer :

1) Gathering the data

shadow = height = 12 feet

friend = 5 ft tall and his shadow=2 ft

Let's visualize it:

2) Since we have similar triangles, (congruent angles and proportional legs) then we can write the following proportion:

[tex]\begin{gathered} \frac{h}{5}=\frac{14}{2} \\ \frac{h}{5}=7 \\ h=35\text{ ft} \end{gathered}[/tex]

3) So the height of the electric pole is 35 ft

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