1.20.2. Finding height of an object which is inaccessible

Try these first

1. 1.

   What instrument is primarily used to measure angles in surveying for heights?

   Hint

   It's a specialized instrument used frequently in surveying.

2. 2.

   What do we measure to determine the height of an object using trigonometry?

   Hint

   Consider what you need to calculate using triangles.

3. 3.

   What instrument is used to measure vertical angles in surveying?

   • Barometer
   • Theodolite
   • Tape Measure

   Hint

   Think about what instrument helps us see angles.

4. 4.

   True or False: You can measure height without taking any angles.

   • True
   • False

   Hint

   Remember the connection between angles and height!

5. 5.

   You are standing 200 m from a building. The angle of elevation to the top is 35 degrees. What is the height of the building from your eye level? If your eye level is 1.5 m, what is the total height?

   Hint

   Make sure to add your eye level height to your initial calculation.

6. 6.

   If your theodolite at point A measures an angle of elevation of 25 degrees to a tower while at point B (50 m farther) measures 15 degrees, calculate the total height of the tower and consider the height difference between points A and B.

   Hint

   Use tangent here to find the respective heights from each angle.