You drive 3.4 km west. You then turn north and drive 0.81 km to get to the store. What is your distance traveled?

The square root of 3.4 squared plus. 81 squared is your answer

You would have to drive in north direction 0.41km

Explanation:

We can solve this with trigonometry, We know that:

sin (/alpha) = / frac{opposite}{hypotenuse}//where: / /opposite=north//hypotenuse=distance

North=sin (6.9^o) * 3.4km=0.41km

So the distance I will have to drive in north direction is 0.41km