Question

The bird house and your friends yard cast a shadow that is 14 feet long your friend is 5 feet tall and Casts a shadow that's 3.5 feet long what is the height of the birdhouse

Answer 1

By similar triangles we can say...

h/14=5/3.5 multiply both sides by 14

h=70/3.5

h=20 ft

Answer 2

The height of the birdhouse is 20ft

Explanation:

Length of bird house shadow = 14 feet

Length of your friend shadow = 3.5 feet

Height of your friend = 5 feet

Height of the birdhouse = ?

To find the height of the birdhouse we will compare the quality of the two parameters.

Height of your friend / Length of your friend shadow = Height of the birdhouse / Height of the birdhouse

Therefore we have:

5ft/3.5ft = x/14ft

Cross multiple

3.5x = 70

x = 70/3.5

x = 20ft.

Therefore, the height of the birdhouse is 20ft