A game warden is standing at a point $P$ alongside a road which runs north-south. There is a marker post at the point $X$, $60 m$ north of his position. The game warden sees a lion at $Q$  on a bearing of $040°$ from him and due east of the marker post.

Another lion appears at $R$, $200 m$ due east of the first one at $Q$.

Calculate the bearing of the second lion from the game warden, correct to the nearest degree.

In the triangle $OAB$, angle $AOB=15°$, $OA=3 m$ and $OB=8 m$. Calculate, correct to $2$ decimal places the length of $AB$

In the triangle $OAB$, angle $AOB=15°$, $OA=3 m$ and $OB=8 m$. Calculate, the area of triangle $OAB$.

A pyramid, $VPQRS$, has a square base, $PQRS$, with sides of length $8 cm$. Each sloping edge is $9 cm$ long.

Calculate the perpendicular height of the pyramid.

A pyramid, $VPQRS$, has a square base, $PQRS$, with sides of length $8 cm$. Each sloping edge is $9 cm$ long.

Calculate the angle the sloping edge $VP$ makes with the base.

The diagram shows the graph of $y=\sin \left(x\right)$ for $0\le x\le 360$.

Write down the co-ordinates of $A$, the point on the graph where $x=90°$.

The diagram shows the graph of $y=\sin \left(x\right)$ for $0\le x\le 360$.

Find the value of $\sin \left(270°\right)$.

The diagram shows the graph of $y=\sin \left(x\right)$ for $0\le x\le 360$.

On a copy of the diagram, draw the line $y=-\frac{1}{2}$ for $0\le x\le 360$.

The diagram shows the graph of $y=\sin \left(x\right)$ for $0\le x\le 360$.

How many solutions are there for the equation $\sin \left(x\right)=-\frac{1}{2}$ for $0\le x\le 360$.