Question

A birdhouse has a shadow that is 12 feet long.

Jin is 5 feet tall, and he is standing next to the birdhouse. Jin has a shadow that is 3 feet long.

Use this information to complete the statement about the birdhouse.

Answer 1

It's 20.

12/x=3/5

Then cross multiply 12*5 and 3*x

3x/3=60/3

x=20.

Answer 2

The actual height of birdhouse is 20 ft.

Explanation:

Let h be the actual height of birdhouse.

We have been given that a birdhouse has a shadow that is 12 feet long. Jin is 5 feet tall, and he is standing next to the birdhouse. Jin has a shadow that is 3 feet long.

Since proportion states that two fractions are equivalent, so we will use proportion to solve for the actual height of birdhouse.

`(h)/(12)=(5)/(3)`

Upon multiplying both sides of our equation by 12 we will get,

`(h)/(12)*12=(5)/(3)*12`

`h=5*4`

`h=20`

Therefore, the actual height of birdhouse is 20 ft.