You and a friend go biking. you bike 12 miles north and 2 miles east. what is the straight-line distance from your starting point? round answer to the nearest hundredths.?

straight-line distance from your starting point is 12.17 miles

Explanation:

given data

north = 12 miles

east = 2 miles

to find out

What is the straight-line distance from your starting point

solution

we will apply here pythagorean theorem, it make triangle that has a right angle (90°) north to east

c² = a² + b²   1

here c is straight distance and a is north side distance and b is east side distance

put here value in equation 1 we get

c² = 12² + 2²

c² = 144 + 4

c² = 148

c = 12.17 miles

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