Angles of Elevation & Depression

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Topic Content:

Angle of Elevation
Angle of Depression

Angle of Elevation:

This is the angle between normal eye level (horizontal line) and the line through which an object is above the observer’s eye.

Angle of Depression:

The angle of depression is the angle formed when an observer looks down at an object. It’s the angle between the horizontal line from the observer’s eye level and the line of sight to the object below

Relationship between Angle of Elevation and Depression:

elevation depression — *_{The diagram above shows the relationship between the Angles of Elevation and Depression}*

From the diagram, the horizontals are parallel, hence,

e = d (Alternate angles)

⇒ Angle of elevation = Angle of depression

The angles of elevation and depression are mostly applicable in solving problems involving heights and distances.

Example 6.1.1:

Two observers, Abu and Badu,

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SS1: MATHEMATICS - 3RD TERM

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