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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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?

Mathematics
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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:\[\theta=\tan^{-1}(\frac{29.7}{42.1})\]
i believe the distance to the bird from the bird watcher is the hypotenuse, not the ground
could be wrong, kind of ambiguous

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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
|dw:1327719051930:dw|

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