The cache is not hidden at the posted coordinates and it is not necessary to visit the place to get the final coordinates. However, you can enjoy ice cream nearby.
A father wants to divide an ice cream cone between his two daughters so that they get the same amount of ice cream. Since he is a mathematician, he doesn't want to simply cut the cone on an axis perpendicular to the base, but wants to create an ellipse in the cutting plane. The only thing he has to do is to calculate at what angle he should cut a cone using his handheld laser knife.
How to find the final coordinates
- The cone has the shape of a rotating cone with a base diameter of d=53.0 mm and a height of h=138.0 mm.
- The ellipse formed on the section has one point in common with the circle circumscribed by the base of the cone.
- Let the angle between the plane of the ellipse and the plane of the base of the cone be called alpha (α).
- The whole cone is ideally filled with ice cream, nothing overflows.
- The thickness of the wafer is not taken into account.
- It is best practice to round the final result, not intermediate results.
Enter the angle α in degrees rounded to one decimal place (i.e. in “xx.x” format) into Certitude checker. This will give you the final coordinates and a hint.
Credit: surovec, eratosthenes, and honzc.
Just in case, a local cacher will provide maintenance assistance.