Question

PLEASE HELP DUE TODAY 50 POINTS

One particular 13-foot tall cone of dry sand has a base diameter of 38.6 feet. To the nearest tenth of a degree, what is the angle of repose of this type of dry sand?
A different conical pile of the same type of sand as before (which will have the same angle of repose) is 10 feet tall. What is the diameter of the cone’s base?
Show your mathematical steps and explain your process in words.

Answer 1

The answer is

x = 386/13

Hope this helped.

Answer 2

This is simple proportions, because of their similarity:


`(13)/(38.6) = (10)/(x)`


`x = (386)/(13)`