The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is

Question

3 years ago

7

3.5 feet long. What is the height of the bird house?

2 answers:

Kazeer [188] · Answer 1 · 2021-12-24T09:37:04+03:00

4 0

Answer:

20 feet high

Step-by-step explanation:

Do the work

RideAnS [48] · Answer 2 · 2021-12-24T11:45:52+03:00

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.

$\frac{5}{h}=\frac{3.5}{14}$ (from similar triangles ABC and XYZ)

$h=\frac{14\times5}{3.5}=\frac{70}{3.5}=20 ft.$

Therefore bird's house is 20 feet high.