# Relative velocity of a plane question

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?

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tiny-tim
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hi mousemouse123! you need to draw a vector triangle …

what does it look like? hi mousemouse123! you need to draw a vector triangle …

what does it look like? gee thanks... i drew a vector triangle already... thats how i got the velocity in the east west direction....:grumpy:

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. 