Question

You drive 3.4 km in a straight line in a direction 6.9º east of north. If an alternate route to this same destination takes you straight east and then turns directly north to arrive at the same point, find the distance you would have to drive north.

Answer 1

You would have to drive in north direction 0.41km

Step-by-step explanation:

We can solve this with trigonometry, We know that:

`sin(\alpha )=(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