Question

A building casts a shadow 128 feet long, while a 24 -foot flagpole casts a shadow 32 feet long. How tall is the building? The building is ..............feet tall.

Answer 1

To find the height of the building, we can set up a proportion using the lengths of the shadows and solve for the missing variable.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the lengths of the shadows. Let's call the height of the building 'h'. We have the proportion:

h / 128 = 24 / 32

To solve for 'h', we can cross-multiply:

32h = 24 * 128

Dividing both sides by 32 gives us:

h = 24 * 128 / 32

Simplifying, we get:

h = 96

Therefore, the building is 96 feet tall.