G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 10 Interactive Maths - Second Edition


Angles of Elevation and Depression

The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight).

If the object is below the level of the observer, then the angle between the horizontal and the observer's line of sight is called the angle of depression.


Example 21

From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 34º.  How far is the object from the base of the cliff?

Solution:

Let x m be the distance of the object from the base of the cliff.

So, the object is 59.30 m from the base of the cliff.


Key Terms

angle of elevation, angle of depression

 

Study Another Topic in Chapter 15: Trigonometry

Naming the Sides of a Right-Angled Triangle ] Finding Side-Lengths ] Using the Cosine Ratio ] Using the Tangent Ratio ] Using a Graphics Calculator ] Finding Angles ] Using Inverse Cosine ] Using Inverse Tangent ] Problem Solving ] Composite Figures ] Directions and Bearings ] [ Angles of Elevation and Depression ] Three-Dimensional Problems ] Problem Solving Unit ] Projects ] Symbols ] Index ]

 

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