



 
Hi David. I'll draw one of the triangles on a sketch and label some useful lines and points: According to your plan, AD should be 4 ft and DT should be 8 ft. Therefore AB is also 8 ft. The length CT is what you want to find. All the way around a full circle is 360°. Therefore because of symmetry, BCA must be 360°/6 = 60°. Since AC = CB by symmetry, that means all the angles of BCA are 60, so it is equilateral making AC also equal 8 ft. If AC is 8 ft and AD is 4 ft, using the Pythagorean Theorem, CD^{2} = 8^{2}  4^{2}. So CT, the height of the pyramid is 4 ft. Hope this helps, PS: If you are interested in the angles to cut, then check this earlier question Chris and Harley answered.  


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