SOLUTION: a boat is "d" feet from shore. a person standing on the dock is 35 feet above water level. the angle of depression to the boat from the dock is "a". write "a" as a function of "d"

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Question 413148: a boat is "d" feet from shore. a person standing on the dock is 35 feet above water level. the angle of depression to the boat from the dock is "a". write "a" as a function of "d" ?
Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
highlight%28a=arctan%2835%2Fd%29%29
After drawing this out, you have a right triangle with a base of d, a height of 35, it has a right angle, and angle "a" at the bottom. If you were to try and solve for a, you can use "sohcahtoa", which then gives you the expression:
tan%28a%29=%2835%2Fd%29=highlight%28a=arctan%2835%2Fd%29%29