a person 5 ft tall is standing near a building 30 ft high if the length of the persons shadow is 3 ft what is the length of the shadow of the building
To find the length of the shadow of the building, we can set up a proportion using the heights and lengths of the shadows:
Let x be the length of the shadow of the building.
Using the given information, we have the following proportion:
5 ft (height of person) / 3 ft (length of person's shadow) = 30 ft (height of building) / x (length of building's shadow)
Cross multiplying, we get:
5x = 90
Dividing both sides by 5, we find:
x = 18 ft
Therefore, the length of the shadow of the building is 18 ft.