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Module 1: Pythagoras and bearings

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Angles of elevation and depression

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XSIQ
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Core Mathematics - Angles of elevation and depression

Angles of elevation and depression

What are the practical applications of trigonometry? This resource
explores the application of trigonometry using real world examples:
directions and bearings, compass bearings and contour maps.

Let's begin with angles of elevation and depression. The is the angle
above the horizontal.

The is the angle below the horizontal.

From the top of a vertical cliff 50m high, the angle of depression of a
ship at sea is 25 degrees. How far is the ship from the base of the cliff?

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