Using calculator find an acute angle whose cosine is $\frac{\sqrt{3}}{2}$ correct to $1$ decimal place.

Find to $1$ decimal place, the lettered angle in the given triangle.

Find to $1$ decimal place, the lettered angle in the given triangle.

Find to $1$ decimal place, the lettered angle in the given triangle.

Find to $1$ decimal place, the lettered angle in the given triangle.

Find to $1$ decimal place, the lettered angle in the given triangle.

Find to $1$ decimal place, the lettered angle in the given triangle.

The diagram shows a ramp, $AB$, which makes an angle of $18°$ with the horizontal. The ramp is $6.25 m$ long. Calculate the difference in height between $A$ and $B$ (this is the length $BC$ in the diagram).

Village $Q$ is $18 km$ from village $P$, on a bearing of $56°$. Calculate the distance Q is north of P.Round the answer to $2$ decimal places.