Question

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?

Answer 1

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

Answer 2

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