### Trigonometry using this park scenario

Imagine you’re in a beautiful park with walking paths and trees. In this park, there’s a majestic fountain at the center.

Now, let’s introduce some elements of trigonometry using this park scenario.

**Reference Point – The Fountain:**- The central fountain serves as our reference point, like the origin (0,0) in a coordinate system. It’s where our trigonometric journey begins.

**Pathways – Lines and Angles:**- The park has winding pathways forming various angles. These angles represent the angles in trigonometry. For example, the angle formed by the intersection of two pathways can be considered as an angle in our trigonometric park.

**Tree Shadows – Sine and Cosine:**- As the sun sets, trees cast shadows on the pathways. The length of the shadow can be seen as the projection of the tree’s height onto the ground. This is analogous to the concepts of sine and cosine. The shadow (projection) of the tree’s height onto the ground represents the cosine, and the height of the tree itself represents the sine.

**Distances between Points – Hypotenuse:**- If you decide to take a shortcut across the grass from one pathway to another, you are essentially moving along the hypotenuse of a right-angled triangle formed by the pathways. The distance you cover is like the hypotenuse in trigonometry.

**Observing Birds – Tangent:**- Imagine you see a bird perched on top of a tall lamppost in the park. The line of sight from your eyes to the bird creates an angle. The tangent of this angle is like the ratio of the bird’s height to the distance between you and the lamppost.

By bringing trigonometry into the park, you can visualize angles, distances, and relationships between various elements. The park becomes a dynamic space where trigonometric concepts come to life through the natural surroundings.

## Trigonometry Park Working Model Making

Creating a trigonometry park working model using cardboard and color papers can be a creative and engaging way to visually represent various trigonometric concepts.

Below is a guide to help you make a basic trigonometry park model:

**Materials:**

- Cardboard
- Color papers
- Ruler
- Pencil
- Craft knife or scissors
- Glue or tape
- Markers or colored pencils
- Compass
- Protractor
- Split pins (brads)
- String or yarn (optional)

## Step by Step Working Model Trigonometric Park**:**

**Create the Park Base:**- Cut out a large square or rectangular piece of cardboard to serve as the base of your trigonometry park.

**Draw and Cut Grass:**- Use green color paper to cut out grassy areas. Glue these onto the base to represent the ground of the park.

**Construct Trees:**- Use brown color paper to cut out tree trunks and green color paper for tree canopies. Glue these onto the base to represent trees in the park.

**Build Hills or Slopes:**- Cut out slopes or hills from brown color paper and glue them onto the base to represent elevation changes in the park.

**Create the Sun:**- Cut out a yellow circle from color paper and glue it onto the sky area of the base to represent the sun.

**Construct Trigonometric Structures:**- Create structures to represent trigonometric concepts. For example:
**Right-Angled Triangle Pavilion:**Cut out right-angled triangles from color paper and glue them together to form a pavilion or gazebo in the park.**Unit Circle Fountain:**Cut out a large circle to represent a unit circle. Add angles and radian measures around the circle. This can be a fountain in the park.**Trigonometric Ratios Signposts:**Cut out signposts from color paper, each labeled with a trigonometric ratio (sin, cos, tan). Place these around the park.

- Create structures to represent trigonometric concepts. For example:
**Label the Structures:**- Write labels on the structures to indicate the trigonometric concepts they represent.

**Include Angles and Measurements:**- Use the protractor and compass to draw and label various angles in the park. You can include angles formed by tree branches, slopes, or the sides of structures.

**Optional: Add Interactive Elements:**- Use split pins (brads) to create rotating elements. For example, you can attach a movable hand to the unit circle to demonstrate angle rotation.

**Optional: Hanging Decorations (Clouds):**- Cut out cloud shapes from white color paper and hang them from the top of the park using string or yarn.

**Decorate and Enhance:**- Use markers or colored pencils to add details, decorations, and other elements to enhance the visual appeal of the park.

**Test and Present:**- Arrange the elements in the park and test any interactive features. Present the trigonometry park working model, explaining each structure and its relevance to trigonometric concepts.