anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1 Attachment
freckles
  • freckles
|dw:1437363564659:dw| just use the tangent ratio

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