Vectors — Wind from the north

Question

Ground track , airspeed , wind from the north at . Explain how the correction angle changes.

This practice question was inspired by Question 14(a) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Set up the solution: write the vector relationship component by component, then use a dot product, magnitude or scalar multiple as required.Wind velocity is due south, so the plane must head north of the track to compensate.
State the final answer clearly in the form the question requested.Same , but heading bearing .

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Correction subtracts from the track bearing.

Any mark labels are a TestMum study aid, not an official NESA marking allocation.