A project was launched to determine the best fixed tilt angle at which solar panels should be installed to maximize the annual energy-output. Energy-output refers to the amount of energy in kWh converted from sunlight to electrical energy for use by electrical appliances.

Seven solar panels were installed in an open field, each at a different fixed tilt angle. The energy-output of the seven panels was measured over one year (365 days).

The results are shown in the table below:

\begin{tabular}{|c|c|c|}
\hline
Panel Number & \begin{tabular}{c} Tilt (angle with the \\ horizontal plane) \end{tabular} & \begin{tabular}{c} Total Annual Energy-Output \\ (kWh/year) \end{tabular} \\
\hline
1 & [tex]$0^{\circ}$[/tex] & 350 \\
\hline
2 & [tex]$10^{\circ}$[/tex] & 370 \\
\hline
3 & [tex]$20^{\circ}$[/tex] & 390 \\
\hline
4 & [tex]$30^{\circ}$[/tex] & 410 \\
\hline
5 & [tex]$40^{\circ}$[/tex] & 385 \\
\hline
6 & [tex]$50^{\circ}$[/tex] & 360 \\
\hline
7 & [tex]$90^{\circ}$[/tex] & 220 \\
\hline
\end{tabular}

4.1 Draw a bar graph to illustrate the annual energy-output at different tilt angles for the seven solar panels.



Answer :

To draw a bar graph illustrating the annual energy-output at different tilt angles for the seven solar panels, follow these step-by-step instructions:

### Step-by-Step Solution

#### Step 1: Collect the Data
Start by organizing the data provided in the table. We have three sets of data:

1. Panel Number:
- 1, 2, 3, 4, 5, 6, 7

2. Tilt Angles (Tilt with horizontal plan in degrees):
- 0°, 10°, 20°, 30°, 40°, 50°, 90°

3. Annual Energy-output (in kWh for a whole year):
- 350, 370, 390, 410, 385, 360, 220

#### Step 2: Draw the Axes
- Horizontal Axis (x-axis): This will represent the tilt angles (in degrees).
- Vertical Axis (y-axis): This will represent the annual energy-output (in kWh/year).

#### Step 3: Label the Axes and Create the Scale
- Label the x-axis as “Tilt Angle (degrees)”.
- Label the y-axis as “Energy Output (kWh/year)”.
- Create a scale on the y-axis, choosing an appropriate range based on the data provided. A good range in this case could be from 0 to 450 kWh/year, with intervals of 50 kWh.

#### Step 4: Draw the Bars
For each tilt angle on the x-axis, draw a vertical bar up to the corresponding energy-output value on the y-axis.

#### Step 5: Add Titles and Labels
- Add the main title: “Annual Energy-output at Different Tilt Angles”.
- Mark each bar on the x-axis with the appropriate tilt angles.

#### Step 6: Review and Fine-Tune
- Ensure that the bars are evenly spaced and accurately reflect the data values.
- Check that the gridlines (optional), labels, and titles are clear and readable.

### Example of the Bar Graph

Since we're illustrating here with steps, you can imagine the graph as manual work or you might use graph plotting tools to visualize. However, if we were to describe how the bar graph would look visually:

1. x-axis (Tilt Angles): Mark the angles at appropriate intervals:
- 0°, 10°, 20°, 30°, 40°, 50°, 90°

2. y-axis (Energy Output, kWh/year): Select intervals along the lines of:
- 0, 50, 100, 150, 200, 250, 300, 350, 400, 450

3. Bars
- The bar for 0° will reach up to 350 kWh.
- The bar for 10° will reach up to 370 kWh.
- The bar for 20° will reach up to 390 kWh.
- The bar for 30° will be the tallest, reaching up to 410 kWh.
- The bar for 40° will reach up to 385 kWh.
- The bar for 50° will reach up to 360 kWh.
- The bar for 90° will be the shortest, reaching only up to 220 kWh.

### Final Touch
Include gridlines if necessary for better visualization, and ensure everything is clear and easy to understand.

By following these steps, you can effectively create a bar graph that illustrates the data provided, showing the relationship between tilt angles and the annual energy output of solar panels.