Final answer:
To find the actual height of the lighthouse using the given scale, set up a proportion and solve for the unknown variable. The actual height of the lighthouse is 4cm.
Step-by-step explanation:
To find the actual height of the lighthouse, we need to convert the given scale into a ratio. In this case, 1cm represents 4cm. So, we can say that the scale ratio is 1:4. Now, we can set up a proportion to find the actual height.
If 1cm represents 4cm, then x cm represents the actual height.
Using cross multiplication, we get: 1cm * actual height = 4cm * 1cm
Simplifying further, we find that the actual height of the lighthouse is 4cm.