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.

- anonymous

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- anonymous

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- anonymous

Can anyone see the picture I posted for the problem.

- imqwerty

Can u find out tan of angle P

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## More 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

- anonymous

I do know that the tan function is opposite over adjacent. So then that'd put 33.8/57.6

- imqwerty

Yes can u calculate its value

- phi

yes. now use a calculator

- anonymous

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...

- imqwerty

Yes now do uknw the value of tan60degrees

- imqwerty

Sorry i mean tan(30)

- anonymous

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 \(\tan^{-1} \)

- anonymous

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.

- imqwerty

^

- anonymous

I'm trying to figure it out now. Just a second.

- anonymous

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

- anonymous

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

- anonymous

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
?

- anonymous

fx-9750GII

- phi

I'm looking at the manual. meanwhile, to get the answer, multiply 0.5306*180/pi

- anonymous

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")

- anonymous

Okay, I did that. Then what?

- phi

you should see "angle" at the bottom
scroll down using the "down cursor"

- anonymous

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)

- anonymous

Okay, I'll try it. Just a moment please.

- anonymous

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 ?

- anonymous

Yes, I was.

- phi

try again, just to be sure

- anonymous

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 ?

- anonymous

It doesn't take me anywhere.

- phi

does rad change to deg ?

- anonymous

Oh, yes it does. Once I pressed F1 it changed to Deg.

- phi

now use exit button

- anonymous

Okay, then what next?

- phi

check it works, try shift tan ( \(\tan^{-1} \) ) 0.5868

- anonymous

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
\[ \tan^{-1}\left( \tan x\right) = \tan^{-1} 0.5868 \\ x= \tan^{-1} 0.5868 \\ x= 30.4 \ degrees
\]

- anonymous

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)

- anonymous

Okay, thank you!

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