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.
The bird flying 100 feet above the ground at a 45° angle will have to fly approximately 141.42 feet to reach the mouse. This is calculated using the properties of a 45°-45°-90° triangle. The formula used is d = a ⋅ 2 where a is the height of 100 feet.
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