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Cedarburg is 5 miles due north of the airport, and Lanberry is due east of the airport. If the distance between Cedarburg and Lanberry is 10 miles, how far is Lanberry from the airport? If necessary, round to the nearest tenth.

 Feb 1, 2020
 #1
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sqrt(10^2 - 5^2) = 8.7

 Feb 1, 2020
 #2
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Answer: 8.7 miles

 

Explanation

We have a right triangle with one leg as 5 miles and hypotenuse as 10 miles.

Use the Pythagorean Theorem and get

\(5^2+x^2=10^2\), where x is the missing leg.

\(25+x^2=100, x^2=75\).

Take the square root of both sides. (You need a calculator for this.)

\(\sqrt{75}=8.6603\), or to the nearest tenth, just \(8.7\) miles.

 

You are very welcome!

:P

 Feb 1, 2020

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