# Length of an arc - when will a person leave your view?

Not what you're looking for? Search our solutions OR ask your own Custom question.

Two people 1.8m tall walk from each other until they can no longer see each other (due to the curvature of the earth which has a radius of 6378km).

Assuming nothing else blocks their view, how far do they have to walk?

Note. I cant get my head around how this relates to what we've learned about radius and arc length.

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:17 pm ad1c9bdddfhttps://brainmass.com/math/curves/length-arc-person-leave-view-15678

#### Solution Preview

Let S be the distance between the two people such that after walking through a distance S, they won't be able to see each other.

Let R = 6378Km = 6378000 m be the radius of the earth.

Ler angle ACB = 2Theta (see figure)

We know that,

arc length / radius = angle in ...

#### Solution Summary

With a simple and easy to understand explanation. A figure is included for a better understanding.

$2.49