Question

To find the height of a building using a clinometer.​

Answer 1

Step-by-step explanation:

Step 1: Pick a Spot. Pick a spot to measure your object (I measured a telephone pole). ...

Step 2: Measure Angle. Here's where we bust out our handy clinometer. ...

Step 3: Measure Distance. ...

Step 4: Find Your Eye-height. ...

Step 5: Draw a Picture. ...

Step 6: Model As a Triangle. ...

Step 7: Solve for X. ...

Step 8: Combine With Eye Height

Answer 2

Objective

To make a mathematical instrument ‘clinometer’ to measure the height of a distant object.

Prerequisite Knowledge : Concept of angle of elevation and depressioConcept of angle of elevation and depression.

Properties of right-angled triangle.

Materials Required

Small pipe or drinking straw, a wooden board, wooden strip, thread, weight, screw, geometry box, etc.

Procedure

Prepare a semi-circular protractor with the help of geometry box. Mark degrees in sexagesimal scale with 0° at the lowest and 10 to 90° proceeding both clockwise and anti-clockwise.

Fix a hollow pipe along the diameter of it fig. (i).

Punch a whole at the centre of a semicircle.

Suspend a weight (w) from a small nail fixed to the centre.

Ensure that the weight at the end of the string hangs below the protractor.n.

Properties of right-angled triangle.

Materials Required

Small pipe or drinking straw, a wooden board, wooden strip, thread, weight, screw, geometry box, etc.

Determining the Height of an Object:

6. Measure the distance of the object from you. Let it is d.

7. Look through the hollow pipe straw at the top of the object by rotating it gradually. Make sure that you can clearly see the top of the object.

8. Hold the clinometer steady and record the angle which the string makes on the scale of the clinometer. This angle is the required angle of elevation , let be θ .

Using trigonometric ratio:

tan θ = \frac { height }{ distance } =\quad \frac { h }{ d }

h=d.tan θ

Observation

angle of elevation 0.

distance between object and clinometer d.

height of clinometer/(let)

Therefore height of object =l + h = l+dtanθ

Result

Angle of elevation can be found easily.

I hope it helps