3D Trigonometry Challenge: Angles in a Tetrahedron
The diagram shows a tetrahedron with an equilateral triangular base.
The sides of the base are 8cm and the altitude of the tetrahedron is 10cm.
Point O is at the centre of the base and point S is the apex directly above the centre. Drag the sliders to see the measures from different perspectives.
Q1 Find the angle made with the base and an edge
Q2 Find the angle made with the base and a face.
Tick the HINTS boxes when required. Show all working. The solutions will be posted to teams later.