1.3. Pre-Requisite

Try these first

1. 1.

   What is the formula for calculating the area of a triangle?

   Hint

   Think about how you can visualize a triangle.

2. 2.

   Define geometry in your own words.

   Hint

   Consider what types of shapes come to mind.

3. 3.

   What is the primary use of geometry in surveying?

   • To calculate angles
   • To understand shapes and sizes
   • To measure temperatures

   Hint

   Think about how we define land area.

4. 4.

   True or False: Trigonometry is only useful in surveying and not in other fields.

   • True
   • False

   Hint

   Consider other fields where angles and distances are relevant.

5. 5.

   A tree is standing 100 feet away from a surveyor. If the angle of elevation to the top of the tree is 30 degrees, calculate the height of the tree.

   Hint

   Use tan(θ) = opposite/adjacent.

6. 6.

   You are surveying a triangular plot of land. The base measures 50m and the height is 20m. What is the area?

   Hint

   Recall the area formula for triangles.