Question

question
you start driving west for 9 miles, turn right, 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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attempt 1 out of 2
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Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 9\) (west - ward distance) and \(b=6\) (north - ward distance). The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\), where \(c\) is the straight - line distance from the starting point.
Substitute \(a = 9\) and \(b = 6\) into the formula: \(c=\sqrt{9^{2}+6^{2}}=\sqrt{81 + 36}=\sqrt{117}\).

Step2: Simplify and round

\(\sqrt{117}\approx10.8\) (rounded to the nearest tenth).

Answer:

\(10.8\)