A Christmas decoration is in the shape of a square based pyramid. All edges in the pyramid have a measurement of 4cm how do you find angle a slant edge makes with the base?

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Answer 1 · 2018-06-05T20:53:16

The base has edges 4 cm so the diagonal is

#4^2+4^2=d^2#

#d^2=32#

#d=4sqrt2#

If you make a right angle triangle using the slant edge, the height and half the dial al then you can use trig to find the angle.

#cos theta=(2sqrt2)/4#

#cos theta=sqrt2/2#

#theta=45^@#