Question

At a given location and time of day, a fence post that is 4 feet high casts a shadow that is 6 feet long. How tall would an object with a 12-foot shadow be?

a) 6 feet
b) 8 feet
c) 9 feet
d) 16 feet

Answer 1

An object with a 12-foot shadow would be 8 feet tall.

Step-by-step explanation:

To find the height of an object with a 12-foot shadow, we can set up a proportion:

Height of object / Length of object's shadow = Height of fence post / Length of fence post's shadow

Let's represent the height of the object as 'x':

x / 12 = 4 / 6

To solve for x, we can cross-multiply:

x = (12 * 4) / 6 = 8

Therefore, an object with a 12-foot shadow would be 8 feet tall.