A triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow. Using the following​ diagram, find the height of the building.

Question

50 ft
2 ft
30 ft
Question content area bottom
Part 1
The height of the building is
A.
750 ft
B.
100 ft
C.
120 ft
D.
33.3 ft

Answer 1

To find the height of the building, we can set up a proportion using the two triangles formed:

Building height / Building shadow = Flagpole height / Flagpole shadow

Let h be the height of the building. Then we have:

h / 30 = 50 / 2

h = 30 * (50 / 2)
h = 30 * 25
h = 750 ft

Therefore, the height of the building is 750 ft, so the answer is A. 750 ft.