Answer:
3mm
3.75mm
Explanation:
<u><em>(a) What is the scale factor from the first map to the second map? </em></u>
You might “draw” out the two maps and label the trails as suggested but it is not necessary.
The scale factor is determined by the lengths of the trails on the first map and the second maps.
The scale factor from the first map to the second map is the ratio of a lenght in the second map to the corresponding legth on the first map.
- scale factor = length on the second map / length on the first map
- scale factor = 6cm / 8 cm = 3cm/4cm, or 3cm : 4cm.
Note that means the if you have a length on the first map you can find the corresponding length on the second by multiplyin the former by 3/4.
<u><em>(b) What are the side lengths of the landmark on the second map? </em></u>
Now you must use the scale factor 3cm/4cm. Multiply each length on the first map by 3cm/4cm to find the legth on the second map.
Length on the first map Length on the second map
3mm 3mm × 3cm/4cm = 2.25mm
4mm 4mm × 3cm/4cm = 3mm
5mm 5mm × 3cm/4cm = 3.75mm
