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Given:
Height of tower, h = 100√3 m

To Find:
Angle of elevation of the top of the tower from a point to its foot

Explanation:

Step 1: Determine the Opposite and Adjacent Sides of the Right Triangle
- Let x be the distance from the point to the foot of the tower.
- The opposite side of the right triangle is the height of the tower, h = 100√3 m.
- The adjacent side of the right triangle is the distance from the point to the foot of the tower, x.

Step 2: Use Trigonometry to Find the Angle of Elevation
- The tangent of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side. Therefore, tan(angle) = opposite/adjacent.
- In this case, tan(angle) = h/x = 100√3/x.
- To find the angle of elevation, we need to find the arctan of (100√3/x).
- So, angle = arctan(100√3/x).

Step 3: Calculate the Angle of Elevation
- Substitute the value of h = 100√3 m into the equation, angle = arctan(100√3/x).
- It becomes angle = arctan(100√3/x).
- Simplify further if you have the value of x.

Final Answer:
The angle of elevation of the top of the tower from a point to its foot is arctan(100√3/x), where x is the distance from the point to the foot of the tower.

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