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The image contains a physics problem that involves calculating the vertical and horizontal displacement of a heavy piece of machinery being moved along an incline. Here's a breakdown of the information:

- The piece of machinery is pulled a distance of 15.3 m along a path inclined at 20.2° to the horizontal.
  
We are tasked with answering the following:
  
**(a)** How high above its original position is the machinery raised?
**(b)** How far is it moved horizontally?

Let's work through each part:

### (a) Vertical Displacement
The height (\( h \)) is calculated using the sine function from trigonometry:
\[
h = d \cdot \sin(\theta)
\]
where:
- \( d = 15.3 \, \text{m} \) (distance along the incline),
- \( \theta = 20.2^\circ \) (angle of the incline).

### (b) Horizontal Displacement
The horizontal displacement (\( x \)) can be found using the cosine function:
\[
x = d \cdot \cos(\theta)
\]

I'll now compute the results for both vertical and horizontal displacements.Here are the results for the problem:

**(a)** The machinery is raised **5.28 meters** above its original position.

**(b)** The machinery is moved **14.36 meters** horizontally.

Would you like further details or explanations on any part? Here are 5 related questions to deepen your understanding:

1. How would the results change if the incline angle increased?
2. What trigonometric function would you use for a non-right triangle?
3. How does friction affect the force needed to move the machinery up the incline?
4. Can you calculate the total distance traveled by the machinery if both vertical and horizontal displacements are known?
5. How would you calculate the work done in moving the machinery up the incline?

**Tip:** For inclined plane problems, breaking forces and distances into components (parallel and perpendicular to the incline) is essential for easier analysis.

A heavy piece of machinery is pulled a distance of 15.3 m along a path inclined at 20.2° to the horizontal. Calculate: (a) How high above its original position is it raised? (b) How far is it moved horizontally?

Learn how to calculate the vertical and horizontal displacements of a heavy piece of machinery moved 15.3 meters along an incline at 20.2°. This problem involves trigonometric concepts and is suitable for high school physics students.

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