Question

4. Both the Galapagos Islands and the island of Naura are on the Equator, but the Galapagos Islands are at 90.30◦W whereas the island of

Nauru is at 166.56◦E. How far is it from the Galapagos Islands to

Nauru traveling over the Pacific ocean along the Equator, correct to

the nearest km ?​

Answer 1

Distance between Nauru and Galapagos islands = 11525 Km to the nearest Km

Explanation:

The angle between the two Islands is given as X

X = (180 - 166.56) + (180 - 90.30)

X = 13.44° + 89.70°

X = 103.14

Distance between the islands = length of the arc with angle X subtended at the center of the earth of radius R.

Length of arc = (X/360) × 2πR

Where, R, radius of the earth = 6400 Km

Length of arc = (103.14/360) × 2π × 6400 Km

Length of arc = 11525.48 Km

Therefore, distance between Nauru and Galapagos islands = 11525 Km to the nearest Km