Base of the pyramid is a triangle with a = 5
and angles alpha = 47°
, beta = 53°
. The angle between side edge and the base phi (φ) = 50°
. What's the pyramid's height (and volume)? Being a straight pyramid, it does mean that side edges are equal in length, right?
What am I missing here? Does the pyramid height cross the "altitude point" of the triangle (the point where the triangle's altitudes intersect; is "altitude point" the right word?)? Is there anything about the crossing of "branch"/"leg" of the phi
angle and the a
side of the triangle?