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Charra [1.4K]
3 years ago
7

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

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

Mathematics
2 answers:
Kazeer [188]3 years ago
4 0

Answer:

20 feet high

Step-by-step explanation:

Do the work

RideAnS [48]3 years ago
3 0

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.

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