Mathematics 0580 · IGCSE · Right-angled triangles

Right-angled triangles — practice question

The diagram represents a right-angled triangle. One of the angles is $56^\circ$, the hypotenuse measures $21.8\text{ cm}$ and the base measures $x\text{ cm}$. NOT TO SCALE.
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Calculate the value for $x$.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: A suitable equation is $\sin 56^{\circ} = \frac{x}{21.8}$, or alternatively $\cos 34^{\circ} = \frac{x}{21.8}$

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