When in doubt, let it be checked.
See the figure.
Plane is a rhombus cm.
Diagonal cm.
Using goniometry you find . The other two angles are .
See the figure.
See the figure.
The base of the pyramid consists of five isosceles triangles with a top angle of and a base of cm.
The two legs of these triangles have a length of cm. That is the radius of the circle containing the five vertices of the pentagon
.
You can calculate the height of the pyramid using Pythagoras' theorem in . You find: cm.
This information enables you to draw the views.
The top is a cone with height and the radius of the base circle is m.
The bottom is a truncated cone and the radius of its base circle is m en m and its height m. This truncated cone originates from a cone with a height of m.
The (stiff) cone skirt has the shape of a truncated cone.
The base circle has circumference . So the radius of the base circle is cm.
The top circle has circumference . So the radius of the top circle is cm.
With these you can draw the views. You could even calculate the height of the truncated
cone ( cm), but this is not necessary. The side view is shown here.
The top plane en the bottom plane are regular octagons. these consist of eight isosceles
triangles with top angle and base cm. The two legs of these triangels heve a length of cm. This is the radius of the circle containing the vertices of these octagons.
the side consists of equilateral triangles with edges of cm.