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

Pythagoras' theorem and trigonometry in 3D — practice question

(a(i))[2]

Calculate the angle of elevation to the top of the tower.

(a(ii))[4]

Calculate the value of $x$.

(b(i))[4]

Calculate $y$, the length of one sloping edge of the pyramid.

(b(ii))[2]

Calculate the angle formed between a sloping edge and the rectangular base of the pyramid.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accept $10.6$ or $10.59\ldots$.

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