Question

Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth. The triangle is not drawn to scale. Need Help! Please I don't get it at all I tried to solve it.

Answer 1

Post the graph and I will try

Answer 2

Just give me one sec

Answer 3

Here it is

Answer 4

Are you still there Jacich?

Answer 5

HI Welcome to Openstudy!

Do you know the trigonometric ratios? SOH CAH TOA?

\(\sf \Large sin\ \theta= \frac{opposite}{adjacent}\\ \Large cos\ \theta= \frac{adjacent}{hypotenuse} \\ \Large tan\ \theta = \frac{opposite}{adjacent} \)

Now look at the image below:

Answer 6

You are given the \(\sf \theta = 20°\ and\ opposite=9\)

You are looking for the adjacent side, which is x.
so which of the trig ratios can you use?

Answer 7

**just refresh your browser of you see question marks on you screen

Answer 8

What do you mean by trig ratios? Sorry this is new to me. Can explain is step by step. Please if it's not to much trouble.

Answer 9

no worries! we're here to help

I mentioned them above :)

Answer 10

Sin and tan?

Answer 11

Trig ratios are SOH CAH TOA (just abbreviated form)

their ratios are mentioned above and I labelled your diagram:

Answer 12

since you are given the opposite and the theta, and you are looking for x or the adjacent side, you can use \(\sf \Large tan \theta = \frac{opposite}{adjacent}\)

just plug in your given values

Answer 13

so would it be like 20/9?

Answer 14

\(\sf \Large tan\ 20= \frac{9}{adjacent}\)

evaluate this, it will be:
\(\sf \Large \frac{tan\ 20}{9}= adjacent\)

Answer 15

so would you just divide\[\tan 20 \div 9=adj\] which would give you .45?

Answer 16

oops my bad! I'm sorry!

it should be \(\sf \Large \frac{9}{tan 20}= adjacent\)

Answer 17

So it would be .45 right?

Answer 18

nope. you should get a different number because that one is too small.

Answer 19

recalculate it again and let's see if we get the same

Answer 20

2.22?

Answer 21

no
I got a different one
be careful when plugging the numbers in your calculator

Answer 22

ok, for what the calculator is telling me 9/20= 0.45 or 20/9= 2.22

Answer 23

you forgot to enter the "tan" function

Answer 24

it should look like this:

Answer 25

Oops my bad. should it equal to 4.02?

Answer 26

yes kind of.

your calculator is set in radian mode, it's better if you change it to degrees because your theta is in degrees.

go to the mode of your calculator and click on the 'deg' mode.
then calculate it again.

Answer 27

Just give me one sec I will be right back. But it is still giving me 0.45

Answer 28

ok :)

Answer 29

Ok Im back and I did it again and it gave me 4.02295598054

Answer 30

oh wait!!

I think I'm the one who made a mistake here
You are right (:
I also got 4.02

lol i'm getting 24 in a different calculator, but then I use my own and I got the same thing that you get :3

again i'm sorry, I hope this will not stop you to stay here at openstudy

Answer 31

Are you still there Data_LG2?

Answer 32

Its ok, so what would be the ratio to the problem?