the angle between the surface and base side of aregular n-gonal side?

Question

the altitude of n-gonal regular pyramid is half of it's base side,then what is the degree measure angle between the lateral surface and it's base side?

Answer 1

from base side, do you mean like length of the side of that regular n-gonal?
.....

goin to solve it, assuming that the base side means one of the side of that regular n-gon.

but as for n, it's ok
only thing is that n would be there in that angle...

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so, here's what I come up with:

tan (that angle) = height/r

r= a line that's from the center of that base gon to the point where two sides of that gon meet



so height = 0.5 a
a= side of that n-gon

and so

tan (angle that you are looking for perhaps) = sin (360/n) / (2 (sin (z))


z= (90(n-2))/n

i ain't sure if it's right.. but hope it helps you.

Answer 2

You can't have a measure in degrees if you don't give us n.