Question

24. The height of an object varies directly with the length of its shadow. If a tree 8 feet tall casts a shadow 10 feet long, how long will be the shadow of a tree that is 12 feet tall?​

Answer 1

15 feet

Explanation:

Given an 8' object casts a 10' shadow, you want to know the length of the shadow of a 12' object.

Proportion

The shadow length is proportional to the object length:

shadow/object = 10'/8' = s/12'

Multiplying by 12', we have ...

s = (12')(10/8) = 15'

The shadow of a tree 12 feet tall will be 15 feet long.