Question

Olympus Mons's peak rises 25 km above the surface of the planet Mars. The diameter of Mars is approximately 6794 km. What is the distance from the peak of Olympus Mons to the horizon to the nearest kilometer?

Answer 1

1.17*10^14 km

Explanation:

kindly find attached the image for your reference

Step one:

The diameter of Mars is approximately 6794 km

hence the radius is = 6794/2= 3397km

Step two:

Use the Pythagorean Theorem

`x^2 + 3397^2 = (3397 + 25)^2\\\\`

`x^2 + 11539609 = (11710084)^2\\\\x^2 + 11539609 = (11710084)^2\\\\x^2= (11710084)^2-11539609 \\\\x^2= 1.37*10^14-11539609 \\\\x^2=1.37*10^14\\\\x= √1.37*10^14\\\\x=1.17*10^14 km`