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.

Question

olasank [31]

3 years ago

7

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.

Mathematics

1 answer:

Aleonysh [2.5K] · Answer 1 · 2022-06-17T23:41:37+03:00

Aleonysh [2.5K]3 years ago

6 0

See the attached figure to better understand the problem

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

the answer is
The angle of depression is 25.11°