I'm so frustrated on this problem! Please help! This is my first time on open study, please help! In △PQR, find the measure of ∡P.

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I'm so frustrated on this problem! Please help! This is my first time on open study, please help! In △PQR, find the measure of ∡P.

Mathematics
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Can anyone see the picture I posted for the problem.
Can u find out tan of angle P

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Other answers:

  • phi
this is trig. If you need a quick refresher, see https://www.khanacademy.org/math/geometry/right_triangles_topic/cc-geometry-trig/v/basic-trigonometry
I do know that the tan function is opposite over adjacent. So then that'd put 33.8/57.6
Yes can u calculate its value
  • phi
yes. now use a calculator
Don't you divide 33.8 into 57.6 and get 0.5868, but then you'd need to use something else which then confuses me.
  • phi
you have tan x = 0.5868... use "inverse tan" or \( \tan^{-1} \) key on 0.5868...
Yes now do uknw the value of tan60degrees
Sorry i mean tan(30)
Would you type in: tan^-1 and then 0.5868?
  • phi
On my calculator, I first type in the number then hit shift (or inverse) then tan (marked \(\tan^{-1} \)
Oh, I forgot to tell you guys the answer choices: A) 30.4 B) 35.9 C) 54.1 D) 59.6
  • phi
it will be obvious if you figure out how to use your calculator.
^
I'm trying to figure it out now. Just a second.
So, I did like you said, I typed in the number (0.5868) and then I pressed shift and press tan^-1, but it gave me an error?
  • phi
try it the other way
I did tan^-1 and typed in the numbers as well, and it gave me: 0.5306
  • phi
you are in radian mode. multiply by 180/pi or easier, change your mode to degrees
How would I change the mode? The calculator I'm using is a Casio. Sorry if I'm making this challenging, I'd just like to understand the problem.
  • phi
what model casio ?
fx-9750GII
  • phi
I'm looking at the manual. meanwhile, to get the answer, multiply 0.5306*180/pi
Thank you for you help by the way, so I punched in what you told me to and I got: 30.416
  • phi
which rounds to 30.4º to change mode to "degrees" use shift menu (this gets you to "setup")
Okay, I did that. Then what?
  • phi
you should see "angle" at the bottom scroll down using the "down cursor"
Yes, then press Execute?
  • phi
it says press function keys to change the setting?
  • phi
try F1
  • phi
yes, execute, then F1 (I am guessing)
Okay, I'll try it. Just a moment please.
Hm, so I pressed execute then F1, it takes me to the Matrix suggestions. They're from A-Z and then after Z is Mat Ans.
  • phi
were you on the "angle" line when you hit exe ?
Yes, I was.
  • phi
try again, just to be sure
Okay, I'll tell you what I've been doing. I press the shift button and then press the Menu button but it takes me to the Set Up since that is for the shift button. Then I move downward to "Angle" and next to the word angle on the far right is the words: " :Rad" I then press Execute and go to F1, not using the shift bar or anything else.
  • phi
maybe once you are at the angle line, just press F1 ?
It doesn't take me anywhere.
  • phi
does rad change to deg ?
Oh, yes it does. Once I pressed F1 it changed to Deg.
  • phi
now use exit button
Okay, then what next?
  • phi
check it works, try shift tan ( \(\tan^{-1} \) ) 0.5868
I typed in exactly what you told me to and I got: 30.4. So yes, it worked! I'm so happy. Thank you for helping me through this problem and fixing my calculator haha. You've been a great help!
  • phi
so what you did was tan x = 0.5868 then you did "inverse tan" of both sides \[ \tan^{-1}\left( \tan x\right) = \tan^{-1} 0.5868 \\ x= \tan^{-1} 0.5868 \\ x= 30.4 \ degrees \]
Yes, I understand fully now how I got my answer. Is there any way you could help me on another problem I have?
  • phi
please close this post and make a new one. (this one is a bit long)
Okay, thank you!

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