Question

both the Galapagos islands and the island of Nauru are on the equator, but the Galapagos islands are at 90.30degrees West whereas the island of Nauru is at 166.56degrees East. how far is it from the Galapagos islands to Nauru traveling over the Pacific ocean along the equator, correct to the nearest km? A. list and explain each step used in solving the question. B. identify the teaching materials or methods used you want to use in understanding and solving the question. C. implement the steps in (A) to solve the question.​

Answer 1

Answer: This is what i can do . i hope it helps:)

The angle between the longitude of the Galapagos Islands and that of Nauru is 90.30°+166.56°=256.86°.

We find the sum since these places have different longitude directions, but this is the major arc, and the minor arc will be 360°−256.86°=103.14°.

Angle between Galapagos Islands and 180°E/W = 180° - 90.30° = 89.70°

Angel between Nauru island and 180°E/W = 180° - 166.56° = 13.44°

Total angle between Galapagos Islands and Nauru = 89.70 ° + 13.44° = 103.14°.

Step-by-step explanation:

$let \:\alpha \:be\:our\:teetah \\l = \frac{r \pi}{180 \°} \times \alpha \\\\= \frac{6400\pi}{180 \°} \times 103.14\\\\= 11520.848\\\\= 11521 km$