Question

Three moons are in the same circular orbit around a planet. The planet is 35,000 kilometers in diameter, and the measure of angle ABC is 90 degrees. How far is point A from point C?

a. 70,000 km
b. 105,000 km
c. 122,500 km
d. 140,000 km

Answer 1

The distance between point A and point C is 70,000 km.

Step-by-step explanation:

To find the distance between point A and point C, we can use the concept of circle geometry. Since point B is at the center of the circular orbit, the distance from point A to point C is equal to the radius of the circular orbit. The radius of a circle is half of its diameter, so in this case, it would be 35,000 kilometers divided by 2, which is 17,500 kilometers. Therefore, the answer is option a. 70,000 km.