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The angle of elevation of the top of a t...

The angle of elevation of the top of a tower a point A due south of it is `30^@` and from a point B due west of it is `45^@` .If the height of the tower is 100 meters ,then find the distance AB.

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To solve the problem step by step, we will use trigonometric ratios and the Pythagorean theorem. ### Step 1: Understand the problem We have a tower of height 100 meters. From point A, which is due south of the tower, the angle of elevation to the top of the tower is 30 degrees. From point B, which is due west of the tower, the angle of elevation is 45 degrees. We need to find the distance AB between points A and B. ### Step 2: Set up the triangles Let: - O be the base of the tower. ...
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