Chie left home and ran north for 20 minutes at 10km/h...

Question

Chie left home and ran north for 20 minutes at 10km/h and then turned north east and ran for 35 minutes at
5km/h. How far (km) was she away from home after the run? Round your answer to 2 decimal places.

Answer 1

Since the directions North and East are perpendicular to each other, we have two legs of a right triangle.

 

The length of the North leg (N) can be determined by 20minutes/60minutes/hour x 10km/hour = 0.3333hr x 10km/hr = 3.333km

 

The length of the East leg (E) can be determined by 35minutes/60minutes/hour x 5km/hr = 0.5833hr x 5km/hr = 2.916km

 

We can then use the Pythagorean theorem to determine the distance from her house, which will be given by

 

the square root of 3.333km² + 2.916km² = the square root of 19.6km² ≅ 4.4km