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-
- 20 m
- 33 m
- 34.64 m
- 44.64 m
Explanation
We can solve this problem using trigonometry.
Let's denote:
- as the height of the tower,
- as the horizontal distance from the point to the base of the tower,
- 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:
Given that and meters, we can plug in these values and solve for :
So, the height of the tower is approximately 34.64 meters.
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