Question

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.

Answer 1

Can anyone see the picture I posted for the problem.

Answer 2

Can u find out tan of angle P

Answer 3

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

Answer 4

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

Answer 5

Yes can u calculate its value

Answer 6

yes. now use a calculator

Answer 7

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.

Answer 8

you have
tan x = 0.5868...
use "inverse tan" or \( \tan^{-1} \) key on 0.5868...

Answer 9

Yes now do uknw the value of tan60degrees

Answer 10

Sorry i mean tan(30)

Answer 11

Would you type in: tan^-1 and then 0.5868?

Answer 12

On my calculator, I first type in the number
then hit shift (or inverse) then tan (marked \(\tan^{-1} \)

Answer 13

Oh, I forgot to tell you guys the answer choices:

A) 30.4
B) 35.9
C) 54.1
D) 59.6

Answer 14

it will be obvious if you figure out how to use your calculator.

Answer 15

^

Answer 16

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

Answer 17

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?

Answer 18

try it the other way

Answer 19

I did tan^-1 and typed in the numbers as well, and it gave me: 0.5306

Answer 20

you are in radian mode. multiply by 180/pi or easier, change your mode to degrees

Answer 21

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.

Answer 22

what model casio
?

Answer 23

fx-9750GII

Answer 24

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

Answer 25

Thank you for you help by the way, so I punched in what you told me to and I got: 30.416

Answer 26

which rounds to 30.4º

to change mode to "degrees"
use shift menu (this gets you to "setup")

Answer 27

Okay, I did that. Then what?

Answer 28

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

Answer 29

Yes, then press Execute?

Answer 30

it says press function keys to change the setting?

Answer 31

try F1

Answer 32

yes, execute, then F1 (I am guessing)

Answer 33

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

Answer 34

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.

Answer 35

were you on the "angle" line when you hit exe ?

Answer 36

Yes, I was.

Answer 37

try again, just to be sure

Answer 38

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.

Answer 39

maybe once you are at the angle line, just press F1 ?

Answer 40

It doesn't take me anywhere.

Answer 41

does rad change to deg ?

Answer 42

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

Answer 43

now use exit button

Answer 44

Okay, then what next?

Answer 45

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

Answer 46

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!

Answer 47

so what you did was
tan x = 0.5868
then you did "inverse tan" of both sides
\[ \tan^{-1}\left( \tan x\right) = \tan^{-1} 0.5868 \\ x= \tan^{-1} 0.5868 \\ x= 30.4 \ degrees
\]

Answer 48

Yes, I understand fully now how I got my answer. Is there any way you could help me on another problem I have?

Answer 49

please close this post and make a new one. (this one is a bit long)

Answer 50

Okay, thank you!