Points A and B are on the same parallel of latitude X degrees North. A is at 15 degrees East and B is at 75 degrees West. The distance between A and B along the parallel of latitude is 5005 km. Calcul

Point A: $(X^\circ N, 15^\circ E)$
Point B: $(X^\circ N, 75^\circ W)$
Distance from A to B along the parallel of latitude = $5005 \text{ km}$
Radius of Earth $(R) = 6370 \text{ km}$
$\pi = \frac{22}{7}$

Since A is at $15^\circ E$ and B is at $75^\circ W$, the total change in longitude is:

The formula is: Distance $= \frac{\Delta\lambda}{360^\circ} \times 2\pi R \cos(X)$
Substitute the known values:

Since the latitude is $X^\circ N$, $X = 60^\circ N$.

The position of point B is $(60^\circ N, 75^\circ W)$.
The position of point A is $(60^\circ N, 15^\circ E)$.

Part (a) (ii) Calculate the position of point C

Point B: $(60^\circ N, 75^\circ W)$
Aircraft flew due South for 3 hours 40 minutes.
Speed $= 910 \text{ km/h}$

Time $= 3 \text{ hours } 40 \text{ minutes} = 3 + \frac{40}{60} \text{ hours} = 3 + \frac{2}{3} \text{ hours} = \frac{11}{3} \text{ hours}$

Distance = Speed $\times$ Time

Since the aircraft flew due South, the longitude remains the