5

Created by

Calculate the height of imaginary mountains from a picture

I would like you to use the provided image of an imaginary planet that has very large mountain formations and calculate the height of one of the typical mountains in the picture.

Assumptions:

• The planet in the picture is the same diameter as Earth.

I will only accept estimates based on mathematical methods and information that can be measured directly from the picture such as the curvature.

lars 0 about 3 years ago

By comparing it to Olympus Mons we can get a very good estimate: https://cdn.mos.cms.futurecdn.net/XNRcoHujh5mZHmPQZzYbgH-1200-80.jpg OM is 198px high when scaled to the size of your pic. Tallest mountain about the same distance from the horizon in your pic is 62px high. Accounting for the smaller curvature of Mars, we get a scaled size of OM of 105px. OM is at least 21.9km, and your mountains are about 59% of that or smaller. So overall, your mountains are about 13km tall. It's not exact but it'll be pretty close.

1

Creator

Measurements and calculations must be described so that the logic can be followed.

0

Solutions (1)

0