Question

A boy cycles 120 m north and moves 160 m west. How far is he from the starting point?

Options

• 250 m

• 200 m

• 240 m

• 300 m

Answer 1

200 m

Explanation:

The boy cycles 120 m north (vertical direction).

Then he cycles 160 m west (horizontal direction).

We have to find how far he is from the starting point.

This forms a right-angled triangle, where

One side = 120 m (north)

Other side = 160 m (west)

The distance from the starting point = hypotenuse

Using Pythagoras theorem:

Distance² = 120² + 160²

Distance² = 14400 + 25600

Distance² = 40000

Distance = `sqrt(40000)`

Distance = 200 m