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The image describes a physics-related trigonometry problem. Here's a summary of the question in English and the solution steps:

### Problem Summary
1. **Scenario**: From the base of an electric pole, a point (let's call it point A) has an angle of elevation of \( 30^\circ \) to the top of the pole. Moving 25 meters closer to the pole from point A, the angle of elevation increases to \( 60^\circ \).
2. **Tasks**:
   - (ক) Draw a diagram based on this information.
   - (খ) Determine the height of the pole.
   - (গ) Calculate the distance between the top of the pole and point A.

### Solution Steps

1. **Drawing the Diagram**:
   - Draw a vertical pole with its height \( h \).
   - Mark two points on the ground: \( A \) (farther from the pole) and \( B \) (25 meters closer to the pole).
   - From \( A \), the angle of elevation to the top of the pole is \( 30^\circ \).
   - From \( B \), the angle of elevation to the top of the pole is \( 60^\circ \).

2. **Finding the Height of the Pole (h)**:
   - Let \( x \) be the distance from point \( A \) to the base of the pole.
   - Using trigonometric relations at points \( A \) and \( B \):

     \[
     \tan(30^\circ) = \frac{h}{x}
     \]
     \[
     \tan(60^\circ) = \frac{h}{x - 25}
     \]

   - Solve these equations to find \( h \).

3. **Calculating the Distance from the Top of the Pole to Point A**:
   - Once \( h \) is known, use the Pythagorean theorem to find the direct distance from the top of the pole to point \( A \).

Would you like a step-by-step solution for each part? 

### Related Questions

1. How does changing the angles of elevation affect the height calculation?
2. What other trigonometric identities could be useful in similar problems?
3. How does the distance between points affect angle measurements in trigonometry?
4. How would this problem change if the ground were inclined?
5. Can you calculate the horizontal distance if the pole height is given?

#### Tip
When solving trigonometry problems, always start with a clear diagram to visualize relationships between angles and distances.

An electric pole is observed from a point on the ground at a distance where the angle of elevation to the top of the pole is 30°. Moving 25 meters closer, the angle of elevation becomes 60°. Given this information, the tasks are:

(ক) Draw a representative diagram based on the scenario.
(খ) Determine the height of the pole.
(গ) Calculate the distance between the top of the pole and the initial observation point.

Solve a trigonometry problem involving an electric pole where angles of elevation change as distance varies. Calculate the pole's height and the distance from the observation points using trigonometric ratios and the Pythagorean theorem. Suitable for high school students in Grades 9-11.

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