Calculate the angles of an isosceles triangle that has sides of length $9 \mathrm{cm}, 9 \mathrm{cm}$ and $14 \mathrm{cm}.$

   

The sketch represents a field $PQRS$ on level ground. The sides $PQ$ and $SR$ run due east.
Write down the bearing of $S$from $P$.

The sketch represents a field $PQRS$ on level ground. The sides $PQ$ and $SR$ run due east.
Calculate the shortest distance between $SR$ and $PQ$. $\left(\text{Take} \sin 70°=0.94\right)$

The sketch represents a field $PQRS$ on level ground. The sides $PQ$ and $SR$ run due east.

Calculate in square metres, the area of the field $PQRS$. $\left(\text{Take} \sin 70°=0.94\right)$

In the isosceles triangle $DEF$, $\angle E=\angle F=35°$ and side $EF=10 \mathrm{m}$.
Calculate the perpendicular distance from $D$ to $EF$.

In the isosceles triangle $DEF$, $\angle E=\angle F=35°$ and side $EF=10 \mathrm{m}$.

Calculate the length of the side $DE$.

The diagram shows a regular pentagon with side $2 \mathrm{cm}$. $O$ is the centre of the pentagon.
Find angle $AOE$.

The diagram shows a regular pentagon with side $2 \mathrm{cm}$. $O$ is the centre of the pentagon.
Find angle $AOM$.