X and Y both lie on the equator and their longitude differ by 25°. Find the distance between X and Y along the equator, to the nearest unit .

Take radius of earth=6400km and π= 3.142

1 answer

We know that the equator is a circle of radius 6400 km around the earth. Therefore, the circumference of the equator is 2πr = 2(3.142)(6400) = 40,320 km.

Since X and Y both lie on the equator, the distance between them along the equator is simply the arc length between their longitudes. The difference in longitudes between X and Y is 25°.

To find the arc length between these two longitudes, we need to find what fraction of the circumference of the equator corresponds to a difference of 25°. Since there are 360° around the equator, we can set up a proportion:

25/360 = x/40,320

Solving for x, we get:

x = (25/360) * 40,320 = 2800 km (rounded to the nearest unit)

Therefore, the distance between X and Y along the equator is approximately 2800 km.
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