Physics
posted by Anonymous .
A pilot must fly his plane to a town which is 200km from his starting point in a direction 30degrees N of E. He must make the trip in 1/2 h. An 80km/h wind blows in a direction 30degrees E of S. Find the speed of the plane relative to air.
I found the speed of the plane relative to the ground is 400km/h.
The answer for the speed of the plane relative to the air is 408 km/h. Can someone please explain HOW you would get that.

Check my reply to this yesterday at 12:27pm

Thanks! I understood it now. Do you know what the angle between then pVw and wVg vector would be?
Also can you please help me with the continuation of this problem.
Suppose the pilot disregarded the wind and had flown in a direction of 30 degrees N of E. Where relative to his destination would he be when he thought he should be at the destination? 
I don't know what you mean by "the angle between the pVw and wVg vector".
For the second part:
The draw the plane vector which is the same as the desired results. At the end of the plane vector, draw the wind vector. That is where the plane will end up. So, for a 1/2 hour flight:
(80 km/h) * (hour/2) at 30 degrees E of S.
or 40km at 30 degrees E of S of the desired destination.
Respond to this Question
Similar Questions

Physics
A pilot must fly his plane to a town which is 200 km from his starting point in a direction 30 degrees N of E. He must make the trip in 1/2 hr. An 80km/h wind blows in a direction 30 degrees E of S. Find the speed of the plane relative … 
Physics
Can someone explain to me how I'd draw this problem and what the resultant vector should be as well as the placements of the angles if possible? 
Physics
a plane can fly at 200km/h in still air and has to reach a destination 600km northeast. a 50km/h wind blows from the west. in which direction must the plane head? 
physics
A pilot wants to fly west (ie., the resultant is west). If the plane has an airspeed of 9.5 m/s, and there is a 25m/s wind blowing north, in what direction must she head the plane? 
Physics
A small aircraft has a flying speed of 200 km/h in still air. To make a trip from Saskatoon to Regina, a straight line distance on the map of 250 km, a pilot must first determine the wind velocity and then calculate what direction … 
Physics
An airliner is at point A and is trying to fly to point B, which is 1000 km due North of point A. The pilot of the airliner wishes to reach point B in 2.5 hr. A wind is blowing from the Northwest (45 degrees) at 100 km/hr. In what … 
calc 3
The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 40 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) … 
Gr. 12 Physics
A pilot must fly his plane to a town which is 200km from his starting point in a direction 30degrees N of E. He must make the trip in 1/2 h. An 80km/h wind blows in a direction 30degrees E of S. Find the speed of the plane relative … 
Physics
A light plane attains an airspeed of 491 km/h. The pilot sets out for a destination 785 km due north but discovers that the plane must be headed 20.5° east of due north to fly there directly. The plane arrives in 2.25 h. What was … 
Physics
An airplane pilot wishes to fly due west. A wind of 80km/hr is blowing towards the south. a) If the speed of llane in air is 320km/hr, in which direction should the pilot head?