Calculate Plane Velocity Relative to Ground in Different Directions

[Quantum Mind]

Homework Statement

The airspeed of a small plane is 200 km/h. The wind speed is 50.0 km/h [E]. Determine the velocity of the plane
relative to the ground if the pilot keeps the plane pointing in each of the following directions.
a) East (250 km/h [E] )
b) West (150 km/h [W] )
c) North (206 km/h [N14.0°E])
d) North 40° East (2.4e2 km/h [E41°N] )

Homework Equations

Sin Theta = opp/hyp where Theta = 40 deg, Hyp=200.

The Attempt at a Solution

The first three are basic. For the fourth obviously, a simple resolution of vectors won't do. If I do, I get 128, while the answer is 240. What am I doing wrong?

Sorry to sound so stupid, I am a novice at physics.

 

[lewando]

The Pythagorean method is only useful for adding vectors that form a right angle. What other methods of vector addition have you covered?

 

[Quantum Mind]

OK, I got it. Thanks. I have to use the head to tail method.