PLEASE HELP!! Adam wishes to travel from Paradise, to Cove located 500 km N60degreesW. The groundspeed of the plane is 380 km/h. The wind is from S80degreesE at 85 km/h. a) In what direction should Adam steer?b) What will the plane's airspeed be?c) How long will the trip take?

Question

anonymous · Answer

I am so confused, heeeelp D:

anonymous · Answer

Hi, so all of these directions are vectors.  Have you drawn a scale drawing?

anonymous · Answer

|dw:1348199796547:dw|

anonymous · Answer

I don't know if mine is correct but here's what I've done:

g=p+w
p=g-w

g = 380 km/h, [N60degreesW]
p = ?
w = 85 km/h [N80degreesW]

1. p = g-w
       = 380 km/h [N60degreesW] - 85 km/h [N80degreesW]
       = 380 km/h [N60degreesW] + 85 km/h [S80degreesE]

|dw:1348200668489:dw|

$$b ^{2} = a ^{2} + c ^{2} - 2accosB$$
$$b ^{2} = 85^{2} + 380^{2} - 2(85)(380)\cos40$$
$$= 151625-64600\cos40$$
$$b = 258.2 km/h$$