A bird is flying 100 feet off the ground. Looking down at a 45° angle, it sees a mouse standing still. Approximately how far will the bird have to fly to catch the mouse?

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Mathematics

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A bird is flying 100 feet off the ground. Looking down at a 45° angle, it sees a mouse standing still. Approximately how far will the bird have to fly to catch the mouse?

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Luanaid Luanaid · Answer 1

Luanaid Luanaid

The situation is describe on picture.
We can use relations in two 45-degree angles triangle.
In this example a=100 feet and the distance which bird have to fly to catch the bird is a* \sqrt{2} [/tex] so substituting our data we have: 100* \sqrt{2} [/tex]
So the distance is about 141,4213562 feet.

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