Answer:
Bird house is 20 ft. high.
Step-by-step explanation:
Let the height of the bird house is h feet high casts a shadow of 14 ft long.
My friend is 5 feet high and casts a shadow of 3.5 feet.
Now we see both the triangles Δ ABC and Δ XYZ are similar.
By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.
[tex]\frac{5}{h}=\frac{3.5}{14}[/tex] (from similar triangles ABC and XYZ)
[tex]h=\frac{14\times5}{3.5}=\frac{70}{3.5}=20 ft.[/tex]
Therefore bird's house is 20 feet high.
