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A bird is sitting on the top of an 80 m ...

A bird is sitting on the top of an 80 m high tree. From a point on the ground, the angle of elevation of the bird is `45^(@)`. The bird flies away horizontally in such a way that it remained at a constant height from the ground. After 2 seconds, the angle of elevation of the bird from the same point is `30^(@)`. Find the speed of flying of the bird. (Take `sqrt3=1.732`).

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To solve the problem step by step, we will use trigonometric principles and the information given in the question. ### Step 1: Understand the Initial Position of the Bird The bird is sitting on top of an 80 m high tree. From a point on the ground, the angle of elevation to the bird is \(45^\circ\). ### Step 2: Calculate the Horizontal Distance from the Point on the Ground to the Base of the Tree Using the tangent function for the angle of elevation: \[ ...
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