An airplane is heading north with a constant velocity of 450 km/h. The plane encounters a west wind bellow at a 100 km/h. What is the direction of the plane?

Question

anonymous · Answer

This looks like it's going to be a problem about adding vectors, have you added vectors before?

anonymous · Answer

north-west

anonymous · Answer

What is the angle?

anonymous · Answer

@SA5UK3 have you worked with adding vectors before?

anonymous · Answer

Yep.

anonymous · Answer

Ok, so we have two velocity vectors and we need to add them together:
|dw:1374869260996:dw|

anonymous · Answer

|dw:1374869382358:dw| Do you see how we can solve for the angle x? We're going to use a trig function.

anonymous · Answer

13 is what I got

anonymous · Answer

12.52 rounded

anonymous · Answer

Yep, thats right. So, we could say that the direction of the plane is "13 degrees west of north". Alternatively, we could say the direction of the plane is "77 degrees north of west". I got 77 by subtracting 13 from 90. Both of these phrases are equivalent.

anonymous · Answer

Thanks. I need help with another one. I'll post it and tag you.

anonymous · Answer

Ok, I can't guarantee I'll answer it personally but there are a lot of people in this section who are willing to help