A model of a park was built on scale of 1.5cm to 50m. If the distance between two trees in the park is 150m, what is the distance on the model?
Cross multiply and solve for x.
1.5/50 = x/150
1.5/50 = x/150
Cross multiply to solve for x.
To find the distance on the model, we need to use the scale factor between the model and the actual park.
The scale given is 1.5cm to 50m. This means that 1.5cm on the model represents 50m in real life.
To find the distance on the model, we can set up a proportion:
1.5cm / 50m = x cm / 150m
Cross-multiplying, we have:
1.5cm * 150m = 50m * x cm
225cm = 50m * x cm
Dividing both sides by 50m, we get:
x cm = 225cm / 50m
Simplifying this, we have:
x cm = 4.5cm
Therefore, the distance on the model between the two trees is 4.5cm.