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You start driving west for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your strai...Asked by Anna
You start driving east for 14 miles, turn left, and drive north for another 6 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
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We can use the Pythagorean theorem to find the straight line distance from the starting point:
c² = a² + b²
where c is the hypotenuse (the straight line distance), and a and b are the lengths of the other two sides of the right triangle formed by our driving directions. In this case:
a = 14 miles (east)
b = 6 miles (north)
c² = 14² + 6²
c² = 196 + 36
c² = 232
c ≈ 15.2
Therefore, our straight line distance from the starting point is approximately 15.2 miles. Rounded to the nearest tenth of a mile, the answer is 15.2.
c² = a² + b²
where c is the hypotenuse (the straight line distance), and a and b are the lengths of the other two sides of the right triangle formed by our driving directions. In this case:
a = 14 miles (east)
b = 6 miles (north)
c² = 14² + 6²
c² = 196 + 36
c² = 232
c ≈ 15.2
Therefore, our straight line distance from the starting point is approximately 15.2 miles. Rounded to the nearest tenth of a mile, the answer is 15.2.
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