Question

Three moons are in the same circular orbit around a planet. The moons are each 120,000 kilometers from the surface of the planet, located at points A, B, and C. The planet is 60,000 kilometers in diameter and m∠ABC=90∘. How far is point A from point C?

Answer 1

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is
`MN = 60000`

AM and NC are the distance of moons from the surface of the planet.

`AM = NC = 120000`

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.

So, distance between moon A and moon C is =

`AC=AM + MN + NC`

`AC = 120000+ 60000+ 120000`

`AC = 300000`

Hence the distance between point A and point C is 300000 Km. : Answer

Hope it will help :)