The diagram represents a tent in the shape of a triangular prism. The front of the tent, $ABD$, is an isosceles triangle with $AB=AD$.

The width $BD$ is $1.8 \mathrm{m}$ and the supporting pole $AC$ is perpendicular to $BD$ and $1.5 \mathrm{m}$ high. The tent is $3 \mathrm{m}$ long. Calculate the capacity inside the tent (i.e. volume).

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 $AOE$.