The figure shows a pyramid OABCD in a coordinate system with the starting point O. Determine the angle which is made out of one of the pyramids' bases and the base OABC.
I hope this is understandable, my english isn't really that good, due to teh fact that i'm from Denmark
The points are A(4,0,0), B(4,4,0), C(0,4,0), D(2,2,10) and O(0,0,0)
Can someone please help me?
Yes. The pyramid is symmetric, the vertices have integer coordinates - so what did you expect?Is it that simple?
(To prove my result you can use vectors:
The angle between 2 planes is as large as the angle between the normal vectors of the plane:
normal vector of the base:
normal vector of OCD:
Now calculate and you'll get exactly the same value as before.