Question

The circle at the right represents a planet. The radius of the planet is about 6300 km. Find the distance d to the horizon that a person can see on a clear day from the following height h above the planet.
h=4 km

Answer 1

Answer:

224.54 km

Step-by-step explanation:

A right triangle is formed, where h + r = 4 + 6300 = 6304 km is the hypotenuse, r = 6300 km is one leg and d is the other leg. By Pythagorean theorem:

6304² = 6300² + d²

d² = 6304² - 6300²

d = √50416

d = 224.54 km