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19-04-2018
Mathematics

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Sophie, the cat, is sitting at the top of a tree that is 15 ft tall watching a dog that is 32 ft away from the base of the tree. what is the angle of depression? round to the nearest hundredth.

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calculista calculista

30-04-2018

see the attached figure to better understand the problem

in the triangle ABC
we know that
∅=angle of depression
tan ∅=15/32
∅=arc tan (15/32)-------> ∅=25.11°

the answer is
The angle of depression is 25.11°

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