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Applications of Right Triangle Trigonometry Lesson 8.7 Geometry Honors

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Title: Applications of Right Triangle Trigonometry Lesson 8.7 Geometry Honors


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Applications of Right Triangle TrigonometryLesson
8.7Geometry Honors
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Applications of Right Triangle Trigonometry
  • angle of depression
  • When a point B is viewed from a higher point A
    as shown by the diagram below, ?1 is the angle of
    depression.

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Applications of Right Triangle Trigonometry
  • angle of elevation
  • When a point A is viewed from a lower point B,
    as shown by the diagram below, ?2 is the angle of
    elevation.

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Applications of Right Triangle Trigonometry
  • Example 1
  • Draw a diagram showing a person who is 1.5 m
    tall standing 20 m from the base of a building.
    Also show that the person sights the top of the
    building with an angle of 58?. Find the height
    of the building.

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Applications of Right Triangle Trigonometry
  • Example 2
  • When the suns angle of elevation is 38?, a
    building casts a shadow of 45 m. How high is
    the building?

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Applications of Right Triangle Trigonometry
  • Example 3
  • From the top of a lighthouse 20 m high, a sail
    boat is sighted having an angle of depression of
    4?. How far from the lighthouse is the boat?

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Written Exercises
  • Problem Set 8.7A, p.318 2 - 12 (even)
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