A camel at the base of a large sand dune wants to get to the top of it to see what is on the other side.
The dune distance d
and height h
are as shown below:
....+ ........| ............| ................| h ....................| ........................| Camel ----------------------------+ d
Steep dunes don't worry him because this is a smart camel!
When the slope is > 30 degrees, then instead of going straight up he will zig-zag back and forth so the climb is not so steep.
Given d
and h
then what is the shortest amount of walking for our smart camel to get to the top of the sand dune?