Relative velocity of a plane question

[mousemouse123]

an aircraft must fly at a velocity of 150m/s[n35e] if there were no wind to reach its destination. a wind from the west of 25m/s is present for the whole flight. calculate the velocity the pilot must maintain to reach her destination in time. i started by finding the velocity of the plane in the east west dimenson. and got 122m/s [e] would i just add this number to 25 to get the right answer?

 

[tiny-tim]

hi mousemouse123!

you need to draw a vector triangle …

what does it look like? ​

 

[mousemouse123]

hi mousemouse123!

you need to draw a vector triangle …

what does it look like? ​

gee thanks... i drew a vector triangle already... that's how i got the velocity in the east west direction...

 

[madmac95]

I found that the velocity of the plane to the ground was 165.6m/s (N42E).
I did this using the vector diagram then the cosine law to find the velocity of the plane to the ground, then the sine law to find the angle it travels.