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

The angle of elevation of the top of a building from the foot of the tower is `30^(@)` and the angle of elevation of the top of tower from the foot of the building is `60^(@)`,If the tower is 50 m high, find the height of the building.

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To solve the problem step by step, we will use trigonometric ratios and the information given about the angles of elevation and the height of the tower. ### Step 1: Understand the Problem We have a tower and a building. The height of the tower (AB) is given as 50 m. The angle of elevation from the foot of the tower (point A) to the top of the building (point C) is 30 degrees, and the angle of elevation from the foot of the building (point D) to the top of the tower (point B) is 60 degrees. ### Step 2: Set Up the Triangles 1. **Triangle ABE**: This triangle is formed by the tower and the line of sight from point A to point B. 2. **Triangle DBC**: This triangle is formed by the building and the line of sight from point D to point C. ...
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