Mathematics 0580: TRIGONOMETRY Topical Past Paper Questions

The sides of a triangle are 5 cm, 7 cm and 11 cm. Find the size of the largest angle in this triangle. [3]

The diagram shows a cuboid $ABCDEFGH$. $AE = 6.4\,\text{cm}$, $EH = 5.1\,\text{cm}$ and $AG = 13\,\text{cm}$. **(a)** Calculate $EF$. [3] **(b)** Calculate the angle between the line $AG$ and the base $EFGH$ of the cuboid. [3]

The diagram shows triangle $ABC$ with $AB = 17.2$ cm. Angle $ABC = 54^{\circ}$ and angle $ACB = 68^{\circ}$. **(a)** Calculate $AC$. [3] **(b)** $M$ lies on $BC$ and $MC = 12.8$ cm. Calculate $AM$. [3] **(c)** Calculate the shortest distance from $A$ to $BC$. [3]