# Math

A plane leaves an airport X, 20.6degrees east and 36.8 north degrees and flies due south along the same longitude for 8 hours at the rate of 1000km/h to another airport Y, 20.6degrees east and tita degree south. The plane then flies west to another airport Z for 8hours at the same speed. Calculate, to the nearest degree: a. The value of tita (b). The logitude of Z

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1. The radius of earth is 6371 km

We have rθ = 8000, so
θ = 8000/6371 = 71.9°

Y is at 20.6°E 35.1°S

Now, at latitude Ø, the radius of the circle of latitude is r' = r cosØ
So, r' = 6371 cos 35.1° = 5210 km
At that latitude, 8000km is 88.0°

Z is at 67.4°W 35.1°S

Z is thus at

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2. Is there no other ans

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3. Not clear

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