A pilot sets out for a destination 1000 km away at a 45 degree angle
North of East, but quickly discovers that due to a wind of 75 km/h
blowing at 70 degree South of East, an adjustment will need
to be made to maintain the course. What must be the plane's velocity with respect to the wind
if it is to arrive at its destination in 2.5 hours?

a) Write the vector equation for the velocity of the plane with respect to the wind. (1 mark)

b) Draw the vector diagram (use a ruler!) that accurately represents the vector equation. Clearly label the vectors and known angles! (2 marks)

(c) What is the velocity of the plane with respect to the wind? (5 marks)

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