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The angle of elevation of a stationary c...

The angle of elevation of a stationary cloud from a point 2500 feet above a lake is `30^@` and the angle of depression of its reflection in the lake is `45^@`.Find the height of cloud above the lake water surface .

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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 scenario We have a point \( B \) that is 2500 feet above the lake. From this point, the angle of elevation to the cloud \( C \) is \( 30^\circ \) and the angle of depression to its reflection \( E \) in the lake is \( 45^\circ \). ### Step 2: Set up the diagram 1. Let \( H \) be the height of the cloud above the lake. 2. The height of point \( B \) above the lake is 2500 feet. ...
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