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anonymous

  • 4 years ago

Two birds sit at the top of two different trees that are both 29.7 feet tall. The distance between the first bird and a bird watcher on the ground is 42.1 feet. What is the angle measure, or angle of depression, between this bird and the bird watcher?

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  1. asnaseer
    • 4 years ago
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    Assuming the distance of 42.1 feet between the first bird and the bird watcher on the ground means "horizontal distance", then this is the diagram for this problem: |dw:1327706904963:dw| You can find the angle of depression \(\theta\) as follows:\[\tan(\theta)=\frac{29.7}{42.1}\]therefore:\[\theta=\tan^{-1}(\frac{29.7}{42.1})\]

  2. anonymous
    • 4 years ago
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    i believe the distance to the bird from the bird watcher is the hypotenuse, not the ground

  3. anonymous
    • 4 years ago
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    could be wrong, kind of ambiguous

  4. Directrix
    • 4 years ago
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    @rick, I agree. Angle of depression is 44.87 ish degrees. http://www.wolframalpha.com/input/?i=inverse+sin+%2829.7%2F42.1%29%3D

  5. Directrix
    • 4 years ago
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    |dw:1327719051930:dw|

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