Question

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.

Answer 1

Lanberry is 8.7 miles far from the airport.

Step-by-step explanation:

Given,

Distance of Cedarburg from airport = 5 miles

Distance of Cadarburg and Lanberry = 10 miles

It will form a right angles triangle where one leg will be 5 miles and hypotenuse will be 10 miles.

Distance of Lanberry from airport = b

Using pythagorean theorem;

$a^2+b^2=c^2\\(5)^2+b^2=(10)^2\\25+b^2=100\\b^2=100-25\\b^2=75$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{75}\\b=8.66$

Rounding to nearest tenth

b = 8.7 miles

Lanberry is 8.7 miles far from the airport.

Keywords: right triangle, square root

Learn more about square root at:

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