A Crow Flies

A crow flies (always in straight line) from its nest 10 miles north and 7 miles east of the nest. At that point, it sees a scarecrow, and so it turns and flies to a point 4 miles farther north and 5 miles east. From there it flies directly back to the nest. To the nearest mile, what is the total distance the crow flies?
Source: NCTM Mathematics Teacher, October 2006

Solution

image
AB^2=10^2+7^2=149
BC^2=4^2+5^2=41
AC^2=14^2+12^2=340
AB+BC+AC=\sqrt{149}+\sqrt{41}+\sqrt{340}=37.05 miles
To the nearest mile, the crow flies a total distance of 37 miles.

Answer: 37 miles

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About mvtrinh

Retired high school math teacher.
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