The angle of depression from the top of the tree to the tip of the shadow is 25°. Find the height of the tree to the nearest tenth. a. 16.8 feet b. 18.2 feet c. 23.4 feet d. 39.7 feet

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The angle of depression from the top of the tree to the tip of the shadow is 25°. Find the height of the tree to the nearest tenth. a. 16.8 feet b. 18.2 feet c. 23.4 feet d. 39.7 feet

Mathematics
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|dw:1437363564659:dw| just use the tangent ratio

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Other answers:

though that is the angle of elevation not angle of depression
how do i solve it what equation
alpha is the angle of elevation which is 25 deg recall tan is opp divided by adjacent
which one is adjacent
since it does say angle of depression I wonder if it is talking about this angle being 25 deg|dw:1437363976910:dw|
|dw:1437364051842:dw| but that still makes that one angle 25 deg
so what do i divide by
so it didn't matter
you just do \[\tan(25)=\frac{\text{ opp side of the angle with measurement } 25 \deg}{ \text{ adj side of the angle with measurement } 25 \deg}\]
the opp side is what I called h in the picture
anyways let me know if you need further help
i dont know what the measurement is
which one?
h
h is what you are solving for
remember h is the height of the tree
that is what you are solving the equation for
you are given the adjacent side the side that touches the angle (and no adjacent side is not the hyp)
|dw:1437364301549:dw|
so what next
pluggin those numbers into equation I gave
then just solving it for h and then bingo you are done
use the equation given above by @freckles
\[\tan(25)=\frac{\text{ opp side of the angle with measurement } 25 \deg}{ \text{ adj side of the angle with measurement } 25 \deg} \\ \tan(25)=\frac{h}{36}\] notice I just put what I called the opp where I said opp side notice I just put what I called the adjacent measurement for the adjacent side can you solve the equation?
|dw:1437364501206:dw|
did you get A?
i didnt get anything yet
what i got 900. i know that isnt right
ok @GEOMETRYHELP10011 do you know how to do tan(25) in your calculator ?
no
oh that could be a big problem for solving the equation
because it does require you to type tan(25) in your calculator
you should see a button with tan on it
you should see it next to things like sin and cos
if you can't find them tell me the name of your calculator and I can tell you where it is
i got at 16.7
ok that's great
that is what I and @triciaal also got
well 16.8
to round to the nearest tenth solve to 2 decimals you have 16.78 then look at the 2nd place if 5 or more add 1 to the digit before 8 is more than 5 so you round to 16.8 if the 2nd digit was less than 5 then you would drop it and round to 16.7

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