Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
The diagram depicts a pyramid $VABCD$ with a rectangular base. $V$ is directly above $M$, where the diagonals $AC$ and $BD$ intersect. $AB = 12\,\text{cm}$, $BC = 10\,\text{cm}$ and $VC = 14\,\text{cm}$.
(main)[4]
Calculate the angle made by $VC$ with the base $ABCD$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate use of the cosine rule leading to the answer.” …