‚ÄčA utility worker is 5.5 feet tall and is casting a shadow 4 feet long. At the same time, a nearby u

Mathematics
Tutor: None Selected Time limit: 1 Day

A utility worker is 5.5 feet tall and is casting a shadow 4 feet long. At the same time, a nearby utility pole casts a shadow 20 feet long. Write and solve a proportion to find the height of the utility pole.

Sep 8th, 2015

Thank you for the opportunity to help you with your question!

5.5 meter tall worker casts a shadow of 4 feet long. Lets say x meter long utility pole casts a shadow of 20 feet long, then we have proportion

5.5/x=4/20 

solving for x

5.5/x=1/5

x=5.5*5=27.5 feet 

So height of utility pole is 27.5 feet. 

Let me know if you have any doubt. I will feel happy to assist you.
Sep 8th, 2015

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