Question

question
you start driving west for 3 miles, turn right, and drive north for another 2 miles. at the end of driving, what is your
straight line distance from your starting point? round to the nearest tenth of a mile.

Explanation:

Step1: Apply Pythagorean theorem

The path forms a right - triangle. Let \(a = 3\) (west - ward distance) and \(b=2\) (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 \(a = 3\) and \(b = 2\) into the formula: \(c=\sqrt{3^{2}+2^{2}}=\sqrt{9 + 4}=\sqrt{13}\).

Step2: Calculate the value

\(\sqrt{13}\approx3.6\) (rounded to the nearest tenth).

Answer:

\(3.6\) miles