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

The angle of elevation of the top of a tower from two points at a distance of 4 m and 9 m from base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.
OR
The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower of the tower and in the same straight line with it are `60^(@)" and "30^(@)` respectively. Find the height of the tower.

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To solve the problem, we will break it down into steps. We will consider both parts of the question: proving that the height of the tower is 6 m when the angles of elevation are complementary, and finding the height when the angles of elevation are 60° and 30°. ### Step-by-Step Solution **Step 1: Understanding the Problem** - We have a tower and two points (A and B) at distances of 4 m and 9 m from the base of the tower. - The angles of elevation from these points to the top of the tower are complementary (sum to 90°) in the first part, and given as 60° and 30° in the second part. ...
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