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Calculating Distances Using Angles of Depression: Triangles in Action

In this problem, we analyze two scenarios involving angles of depression and right triangles. First, a bear is observed from an observation tower, positioned 25 feet away, with a person at the top viewing the bear at a depression angle of 24°. We need to determine how far the bear would need to climb to reach the person. Next, a woman in a hot air balloon at 250 feet altitude observes two people below, with depression angles of 12° and 7°. We will calculate the distance between these two individuals based on their angles and altitude.

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Calculating Distances Using Angles of Depression: Triangles in Action

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Presentation Transcript

  1. Warm-Up A bear is standing 25 feet from an observation tower. The person at the top of the tower is looking down to the angry bear at an angle of depression of 24°. How far will the bear have to climb up the tower to maul the person at the top?

  2. Right Triangles Continued: 2 Part Triangles

  3. A woman in a hot air balloon looks down and sees two people. The angle of depression to the first person is 12° and the angle of depression to the other person is 7°. If the balloon is hovering at an altitude of 250 feet, how far apart are the people?

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