Question

question you start driving east for 18 miles, turn right, and drive south for another 5 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 attempt 1 out of 2 mi submit answer

Explanation:

Step1: Apply Pythagorean theorem

The problem forms a right - triangle. Let \(a = 18\) (east - ward distance) and \(b=5\) (south - ward distance). The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\), where \(c\) is the straight - line distance from the starting point.
Substitute \(a = 18\) and \(b = 5\) into the formula: \(c=\sqrt{18^{2}+5^{2}}=\sqrt{324 + 25}=\sqrt{349}\).

Step2: Calculate the square root and round

\(\sqrt{349}\approx18.7\) (rounded to the nearest tenth).

Answer:

\(18.7\)