Answer:
The height of the building is of 244.95 feet.
Step-by-step explanation:
We use the Pythagorean Theorem to solve this question.
We have that:
The shadow of 50 feet is one side of the right triangle, while the height h is other side.
The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.
So
[tex]50^2 + h^2 = 250^2[/tex]
[tex]h^2 = \sqrt{250^2 - 50^2}[/tex]
[tex]h = 244.95[/tex]
The height of the building is of 244.95 feet.
