Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D

Pythagoras' theorem and trigonometry in 3D — practice question

The diagram depicts tent ABCD. The tent's front face is an isosceles triangle ABC, with $AB = AC$. The two side faces are congruent triangles ABD and ACD. The diagram is labelled NOT TO SCALE.
(a)[3]

Calculate $AC$.

(b)[4]

Calculate angle $ADC$.

(c)[4]

Calculate the area of the tent's floor.

(d)[3]

Calculate the angle that $AD$ makes with the ground.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: About $1.60$-$1.62$

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