Maps and Scale Drawings

Enlarge the triangle $ABC$ by scale factor $3$ about the point $P (8,8)$

Enlarge the triangle $ABC$ by scale factor $2$ about the point O.

A diagram of a bearing is shown below. Given that the bearing of $B$ from $A$ is $060°$, state the bearing of $A$ from $B$.

Two boats $A$ and $B$ are $5 km$ apart, and the bearing of $B$ from $A$ is $256°$.

Using the scale $1 cm : 1 km$, construct a diagram showing the relative positions of points $A$ and $B$.

A rectangular field $ABCD$ measures $100 \mathrm{m}$ by $80 \mathrm{m}$. A scale drawing is made of the field using a ratio of $1:2000$. The diagonal $AC$ of the field is drawn. The approximate length (correct to one decimal place) of the diagonal of the drawing will be _____ $\mathrm{cm}$

 A map has a scale of $1:10000$. The distance between two villages on the map is $25 \mathrm{cm}$. What is the actual distance between the villages in $\mathrm{km}$?

 A map has a scale of $1:10000$. The length of the road from the church to the top of the hill is $800 \mathrm{m}$. What length, in $\mathrm{cm}$, on the map represents the road?

The diagram shows a rectangular field. There is a path, shown by the broken line, leading from the gate into the field to the door of the barn. A goat is tied to the corner, $C$ of the field. Using a scale of $1 \mathrm{cm}$ to represent $10 \mathrm{m}$, a scale diagram is made.

What will be the length of the Path (in $\mathrm{cm}$) in the diagram?

Read the scale drawing and answer the question given below.

If the scale used for this drawing is $1 \mathrm{cm}$ represents $1.5 \mathrm{m}$, then find the actual width of the family room in $\mathrm{m}$.

The diagram is a map showing two towns $A$ and $B$. The map is drawn to scale of $1 \mathrm{cm}$ represents $2 \mathrm{km}$. $B$ is due West of $A$. How far is $A$ from $B$ in real life (in kilometres)?

The diagram (not drawn to scale) shows a park. It has a triangular play area in one corner. At the other end of the park, there is a small rectangular car park. If a scale drawing is made of the park and its features using the scale $2 \mathrm{cm}$ to $100 \mathrm{m}$, then what is the shortest distance (in $\mathrm{cm}$) between the play area and the car park on the scale drawing?

A map is drawn using a scale of $2 \mathrm{cm}$ to represent $250 \mathrm{m}$. This could also be written as a scale of $1:$ _____.

Peta makes a scale drawing of the floor plan of her bedroom. Her actual measurements are correct but one of the measurements for her scale drawing is incorrect. The table shows her measurements. Which one of the measurements is incorrect?

 A map has a scale of $1:10000$. What actual distance does $1 \mathrm{cm}$ on the map represent? Give your answer in metres.