A ship travels 10 km north from a certain point, then 10 km west. What is the ship’s direct (straight-line) distance from the starting point?

Q.A ship travels 10 km north from a certain point, then 10 km west. What is the ship’s direct (straight-line) distance from the starting point? (a) \(20\) km (b) \(10\sqrt2\) km (c) \(2\sqrt{10}\) km (d) 100 km

Answer: B

The ship’s direct distance from the starting point \(= \sqrt{10^2 + 10^2}\) km \(= \sqrt{100 + 100}\) km \(= \sqrt{200}\) km \(= 10\sqrt{2}\) km.