Two islands are in the ocean. If the central angle with vertex at the center of the earth and rays that pass through these two i

Question

Colt1911 [192]

3 years ago

12

Two islands are in the ocean. If the central angle with vertex at the center of the earth and rays that pass through these two i

slands measures 12’, how many statute miles apart are they?

Mathematics

1 answer:

VARVARA [1.3K] · Answer 1 · 2022-05-30T00:30:28+03:00

VARVARA [1.3K]3 years ago

3 0

The central angle with vertex at the center of the Earth is : α = 12` = 1/5° = 0.2°.
The distance between two islands:
L = R π α / 180°
Earth radius = 6,317 km = 3,959 miles
L = 3,959 · 3.14 · 0.2° / 180°
L = 13.82 miles
Answer: Two islands are 13.82 statute miles apart.