Final answer:
The height of the Building is 1531.63 ft.
Step-by-step explanation:
The question involves using similar triangles to determine the height of the building based on the shadow it casts compared to the shadow cast by a man of known height.
This is a geometric problem that can be solved by setting up a proportion because the sun's rays hitting the man and the building are at the same angle, thus creating similar triangles.
The formula to use is Height of Man / Shadow of Man = Height of Building / Shadow of Building.
The man is 6 ft tall, which is 72 inches (since 1 ft = 12 inches), and the shadow of the man is 44 inches long.
We need to find the height of the building whose shadow is 78 ft (or 936 inches).
Setting up the proportion, we get 72/44 = Height of Building/936.
Now we solve for the Height of the Building:
Height of the Building = (72/44) * 936.
= 1531.63 m.