The angle of elevation of the top of a tower from a point 20m away from its base is 60 ∘ . The height of the tower is-

Answer: 34.64 m
Explanation

We can solve this problem using trigonometry.

Let's denote:

  • as the height of the tower,
  • 𝑑 as the horizontal distance from the point to the base of the tower,
  • 𝜃 as the angle of elevation (which is 60 degrees in this case).

In a right triangle formed by the tower, the horizontal distance, and the line of sight to the top of the tower, we have:

tan(𝜃)=𝑑

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