If a tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long and the building is 16 m high, then the height of the tower is equal to 24 m.
The height of the tower can be determined by using proportionality.
In this problem, the shadows of the building and the tower are proportional to the heights of the building and the tower.
Hence, the equation can be written as:
shadow of the tower ÷ shadow of the building = height of the tower ÷ height of the building
12 / 8 = h / 16
Here h is equal to the height of the tower
1.5 = h / 16
h = 1.5 x 16
h = 24
Hence, the height of the tower is calculated to be 24 meters.
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