Answer:
The actual height of birdhouse is 20 ft.
Step-by-step 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.
[tex]\frac{h}{12}=\frac{5}{3}[/tex]
Upon multiplying both sides of our equation by 12 we will get,
[tex]\frac{h}{12}*12=\frac{5}{3}*12[/tex]
[tex]h=5*4[/tex]
[tex]h=20[/tex]
Therefore, the actual height of birdhouse is 20 ft.
