Question

HELP PLZ ASAPPPP

- Point A is the top of Mount Everest which is approximately3964 miles away from the center of the Earth. Point B is on top of a Mountain in China that is 3960 miles away from the center of the Earth. Using the lines of latitude, there is a 14.9º angle between the two from the center of the Earth. How far is the actual distance from one mountain top to the other?
-- 1027 miles
--1923 miles
--2042 miles
-- 5603 miles

Answer 1

1027 miles

Explanation:

Using the Law of Cosines, the distance "c" between the mountains can be found from ...

c^2 = a^2 + b^2 -2ab·cos(C)

= 3964^2 +3960^2 -2·3964·3960·cos(14.9°)

≈ 1,055,634.95

So, the distance is about

c ≈ √1055634.95 ≈ 1027.44

The straight-line distance (partially through the Earth) from one mountaintop to the other is about 1027 miles.