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Two points A and B are on the same side ...

Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are `60^(@)" and "45^(@)` respectively. If the height of the tower is 15 m, then find the distance between these points.

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To solve the problem, we will use trigonometric ratios and the properties of right triangles. Let's break down the solution step by step. ### Step 1: Understanding the Problem We have a tower of height 15 m. There are two points A and B on the ground, and the angles of depression from the top of the tower to these points are 60° and 45°, respectively. We need to find the distance between points A and B. ### Step 2: Drawing the Diagram Draw a vertical line representing the tower (PT) with a height of 15 m. Mark the top of the tower as point P and the base of the tower as point T. Draw horizontal lines from P to points A and B on the ground, creating two right triangles, PTB and PTA. ...
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