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Angles of Elevation and Depression

  • When observing an object not aligned with their eye-level horizontally, a person will be viewing it at either an angle of elevation or depression.
    • Looking upward at an object results in an angle of elevation between the line of sight and the horizontal.
    • Conversely, looking downward at an object leads to an angle of depression between the line of sight and the horizontal.
  • Angles of elevation and depression are measured in relation to the horizontal plane.
  • In practical applications, right-angled trigonometry is often employed to determine angles of elevation or depression or to find missing distances.
  • Tangent (tan) frequently features in real-life scenarios involving angles of elevation and depression.
    • For instance, if we know our distance from a tree and the angle of elevation to its top, we can utilize tan to compute its height.
    • Similarly, if we're observing a boat at sea and know our height above sea level along with the angle of depression, tan can help determine the boat's distance from us.

Elevation & Depression | Mathematics for GCSE/IGCSE - Class 10

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