Question

A sailor embark on a journey from town A(30N, 32E) to another town B(30N, 35W) along latitude 30N. He then move his ship to another location C(20S, 35W) along longitude 35W taking R=6400km and π=3.142

Calculate the distance from A to B and then C in nautical mile

Answer 1

The distance from A to B is 638.96 nautical miles and the distance from B to C is 479.59 nautical miles.

Step-by-step explanation:

To calculate the distance from point A to B, we can use the formula for finding the distance between two points on the surface of a sphere:

d = R * Δφ

where d is the distance, R is the radius of the sphere, and Δφ is the difference in longitude between the two points.

In this case,

R = 6400 km and

Δφ = 35° - (-32°) = 67°.

So, the distance from A to B is 6400 km * (67°/360°) = 1182.22 km.

To convert this to nautical miles, we can use the conversion factor 1 nmi = 1.852 km.

Therefore, the distance from A to B is 1182.22 km / 1.852 = 638.96 nautical miles.

To calculate the distance from point B to C, we can use the formula for finding the great circle distance between two points on a sphere:

d = R * Δθ

where d is the distance, R is the radius of the sphere, and Δθ is the difference in latitude between the two points.

In this case, R = 6400 km and

Δθ = 30° - (-20°) = 50°.

So, the distance from B to C is 6400 km * (50°/360°) = 888.89 km.

To convert this to nautical miles, we can use the conversion factor 1 nmi = 1.852 km.

Therefore, the distance from B to C is 888.89 km / 1.852 = 479.59 nautical miles.