Explanation:
We can use the concept of similar triangles to find the height of the building.
The ratio of the height of the pole to the length of its shadow is the same as the ratio of the height of the building to the length of its shadow. Therefore, we can set up the proportion:
Height of Pole / Length of Pole's Shadow = Height of Building / Length of Building's Shadow
Let's plug in the given values:
Height of Pole = 3 m
Length of Pole's Shadow = 1.33 m
Length of Building's Shadow = 44.5 m
Now, let's solve for the height of the building:
Height of Building = (Height of Pole / Length of Pole's Shadow) * Length of Building's Shadow
Height of Building = (3 / 1.33) * 44.5
Height of Building = 100.75187969 m
Rounded to the nearest meter, the height of the building is approximately 101 meters.