Question

You start driving south for 2 miles, turn left, and drive east for another 9 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answer 1

Use the Pythagorean Theorem: .

So your straight line distance is 10.

We can also recognize this as a multiple of the 3-4-5 Pythagorean triple. We have , with x being the desired value. Therefore x=10, like previously.

Answer 2

Your straight line distance from your starting point 9. 2 Miles

Given:

Let AB=2 miles

Let BC =9 miles

Now let solve for AC

Using this formula

AC=√AB^2 +BC^2

Let plug in the formula

AC=√2^2+9^2

AC=√4+81

AC=√85

AC=9.2 miles

Inconclusion Your straight line distance from your starting point 9.2 Miles

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