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Some Applications of Trigonometry — Part 1: Elevation, depression and one triangle

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Lesson

Some Applications of Trigonometry, Part 1: Looking up and looking down

How tall is a tower you cannot climb? Measure one distance and one angle.

In this lesson you will

  • Identify the line of sight and the angles of elevation and depression in a described situation
  • Draw and label the figure for a heights-and-distances problem
  • Explain why an angle of depression equals the corresponding angle of elevation
  • Find a height, a distance or a slant length using one right triangle
  • Allow for the observer’s eye height
At $45^\circ$ the height equals the distance (drawn to scale).