An aircraft flies from an airport X(35°S, 40°E) and after 1500km due East,it reaches an airport Y. It then fly due south of another airport Z on latitude 70°S. Calculate, correct to 3 s.f;

Question

(a) Radius of the latitude through X

(b) The longitude of Y

(c) The distance between Y and Z

(d) The speed of Z due to the rotation of the Earth

(e) The distance of Z from North

Answer 1

If the earth's radius is R, then
at latitude θ the radius is R cosθ
each degree of latitude is 111 km

Now you should be able to answer the questions.