A plane leaves an airport X, 20-6 E and 36-8 ° N and flies due south along the same longitude for 8 hours at the rate of 1000 km/h to another airport Y, 20-6 E and S The plane then flies west to another airport Z for 8 hours at the same speed. Calculate, to the nearest degree

calculate what?

1 degree of latitude covers 60 nautical miles.

at latitude θ degrees, the radius of the east-west circle is
r = Rcosθ where R is the radius of the earth.
Thus, the distance covered traveling Ø radians is
s = rØ = RØ cosθ

Now use your values