Question

Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet, located at points A, B, and C. The planet is 45,000 kilometers in diameter and m∠ABC=90∘. How far is point A from point C?

Answer 1

Answer:

275,000

Step-by-step explanation:

Diametre of the planet = 45,000

Each moon is 115,000 away from the planet (represented by A, B, and C

Moons A, B, and C form a right triangle.

AC form the hypotenuse.

So, take the distance from the Planet to moon C (115,000) add it the distance from the Planet to Moon A (115,000) and add the diametre of the planet (45,000) to get the answer 275,000

2(115,000) + 45,000 = 275,000

Answer 2

275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000