#### Topic Content:

- Measuring Angle of Elevation and Depression

**Theodolite: **Used by surveyors

**Clinometer: **Made up of a protractor, a tube, and a plumbline attached to the centre of the protractor to indicate the angle.

### Example 2.3.1:

From a point, A on a level ground 27.5 cm away from the foot of a tower, the angle of elevation of the top of the tower is observed to be 44Â°. **(a)** Find by scale drawing, the height of the tower. **(b)** How far is point A from the height of the tower?

**Solution**

** Step 1:** Start by drawing a rough sketch

**Step 2:** Choose a suitable scale. In this case, 1 cm represents 5 cm.

|AC| = 27.5 cm,

Scale = \( \frac{1 \: cm}{5\: cm} \)

27.5 cm becomes

â‡’ \( \scriptsize 27.5 \: \times \: \normalsize \frac{1 \: cm}{5 \: cm} \)

= \( \scriptsize 5.5 \: cm \)

**Step 3:** Draw a horizontal line of length 5.5 cm and draw the triangle using a protractor, using a 44Â° angle.

Draw a horizontal line of 5.5 cm

Mark a 44Â° angle using a protractor

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