Final answer:
To find the actual height of the tower, use the scale given as 2 cm : 25 m. Set up a proportion based on this scale, and cross multiply to find out that the actual height is 150 meters when the scale height is 12 centimeters.
Step-by-step explanation:
You want to find the actual height of a tower when the height on a scale drawing is 12 centimeters and the scale is 2 cm : 25 m.
To solve this, first, you need to determine how many times larger the actual measurements are compared to the scale measurements.
You do this by dividing the actual measurement by the scale measurement.
In this case, the scale is 2 cm : 25 m, which means that each centimeter represents 25 meters in real life. Since 2 cm is 25 m, then 1 cm would be 12.5 m.
Now you can set up a proportion to find the height of the actual tower.
If 1 cm on the scale equals 12.5 m in reality, then 12 cm on the scale would equal x meters in reality:
1 cm/12.5 m = 12 cm/x m
Next, you cross multiply to solve for x:
1 cm × x m = 12.5 m × 12 cm
x = 12.5 m × 12
Now you calculate x:
x = 150 m
The actual height of the tower is 150 meters.