Question

when a 6ft tall fence pole casts a 10 ft shadow, a pine tree casts a 45 ft shadow. How tall is the tree?

Answer 1

Answer: The tree is 27 feet tall.

Explanation:

Here's what we know:

6/10 = x/45 (a 6 foot object creating a 10 shadow is equivalent to something else making a 45 shadow)

We need to isolate x. Multiply both sides by 45:

6*45/10 = x

We can factor out a 2:

3*45/5 = x

We can also factor out a 5:

3*9/1 = x

27 = x

The tree is 27 feet tall.