Hello, lakshmi_arin!
An aircraft on a bearing of 190° and traveling at 200 km/h
is affected by a wind bearing 270° and blowing at 75 km/h.
Use Cartesian vectors to determine the resultant vector On a Cartesian system, it looks like this: Code:
:
:
75 :
W *--------* - - - -
80° /:O
/ :
/ :
/200
/
*
P
The plane's vector is: .$\displaystyle \overrightarrow{OP} \:=\:\langle \text{-}200\cos80^o,\:\text{-}200\sin80^o\rangle $
The wind's vector is: .$\displaystyle \overrightarrow{OW} \:=\:\langle \text{-}75,\;0\rangle$
The resultant is: .$\displaystyle \overrightarrow{OP} + \overrightarrow{OW} \;=\;\langle \text{-}200\cos80^o - 75,\;\text{-}200\sin80^o\rangle$