Question

Can someone help? I'll fan and medal.

Find the measure of angle x. Round your answer to the nearest hundredth.

Answer 1

which trignometric function do you need to use to get x?

Hint: you were given the opposite side and the adjacent side

Answer 2

Tangent, right?

Answer 3

@TheSmartOne

Answer 4

Correct, so now we have

tan x = 8/15

Have you learned arctan or \(tan^{-1}\) yet? (both show the same thing)

basically, tan of angle equals the this ratio of side
but what if you were given the ratio of sides? How would you find the angle? That's where arctan comes in to.

so basically

tan\(\theta\) = y

that means

arctan y = \(\theta\)

Answer 5

@TheSmartOne no, I haven't learnt that yet, so it looks a bit confusing.

Answer 6

so tan of an angle is used to find the ratio of sides

what if we're just given the ratio of sides? That's where we use arctan to find the angle :)

Answer 7

I'm confused

Answer 8

mhmm, what don't you understand?

Answer 9

would I divide the opposite by the adjacent to find the angle?
15/8?

Answer 10

i'm just trying to find x

Answer 11

tan of an angle equals to some value

arctan of some value equals to the angle

flipping adacent and opposite only makes you go from tangent to cotangent
cot = 1/tan

Answer 12

ok. where do I plug in the length of the sides?

Answer 13

you need to use a calculator

arctan (8/15) = x

and then round x to the nearest hundreths, and make sure you're in degree mode

Answer 14

is arctan just tan-1?

Answer 15

yes :)

Answer 16

ok i'm doing it now

Answer 17

I got .4899573263

Answer 18

You're in radians :o

change it to degrees :)

Answer 19

how would I do that?

Answer 20

i'm on a ti-84 plus

Answer 21

nevermind, got it :)

Answer 22

you press the MODE button and then change it from radians to degrees

Answer 23

is 28.07248694 correct?

Answer 24

yes, now round to the nearest hundreth

that would be the 2nd decimal digit

Answer 25

28.07

Answer 26

that's your final answer :)

Answer 27

I have another one, could you check that one and tell me if it's correct? it's the same format.

Answer 28

Find the measure of angle y. Round your answer to the nearest hundredth.

Answer 29

I got 20.92 for that one

Answer 30

@TheSmartOne Pls help me

Answer 31

i turned it in and it was wrong so whoops

Answer 32

Yeah, mhmm, not sure how you got 20 something...
http://prntscr.com/c0fyni

Answer 33

ugh

Answer 34

thanks for the help on the first one, the second came a little too late tho :(

Answer 35

yeah, I went offline for a while, and then I came back and that was when you just submitted it :P