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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?

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Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is [tex]MN = 60000[/tex]

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

[tex]AM = NC = 120000[/tex]

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 =

[tex]AC=AM + MN + NC[/tex]

[tex]AC = 120000+ 60000+ 120000[/tex]

[tex]AC = 300000[/tex]

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

Hope it will help :)

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