How do I find x

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someone help and I will love you forever.

Question

How do I find x 

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someone help and I will love you forever.

anonymous · Answer

please don't just give the answer i really need to know how to do this for the test.

anonymous · Answer

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anonymous · Answer

what?

directrix · Answer

Do you know right triangle trig?

anonymous · Answer

We learned about it but i never understood

directrix · Answer

How is the cosine function of an angle defined in right triangle trig?

anonymous · Answer

... uhm lol. I'm not sure.. by the porportional side? o.o

directrix · Answer

Words such a opposite side, adjacent side, and hypotenuse will be in the ratio used. Does that sound familiar?

anonymous · Answer

yes it does

anonymous · Answer

here let me look at my notes and type down what i have written down tell me if i do this

anonymous · Answer

Cos = Adjacent/hypotonuse

directrix · Answer

Cosine of which angle in this case? Look at the diagram to determine that.

anonymous · Answer

the 24 degree angle?

directrix · Answer

Yes. 
Cos (24) = ?/x  What goes in the numerator?

anonymous · Answer

cos (24) = 11/x?

directrix · Answer

Yes. 

Cosine of an angle is the ratio of the adjacent leg to the hypotenuse.
So, cos 24 = 11/x
What is the value of cosine of 24 ?

anonymous · Answer

im not sure how to put that into my calculator :c

directrix · Answer

You can go to the Google home page and enter "cosine of 24 degrees" and the value will be shown.

anonymous · Answer

0.913545458

anonymous · Answer

thats the answer?

directrix · Answer

No

directrix · Answer

0.913545458 = 11/x.  Do you know how to solve that for x?

anonymous · Answer

uh hold on

anonymous · Answer

is it 0.08304959

directrix · Answer

I don't think so.

0.913545458 = 11/x
0.913545458 / 1 = 11 / x
Cross multiply and

0.913545458 x = 11

x =

directrix · Answer

Divide 11 by ..... what

anonymous · Answer

uhmm 0.913545458

directrix · Answer

and the result is the value of x. What is x?

anonymous · Answer

so equals 12.04099905885581

anonymous · Answer

x = that lol

anonymous · Answer

what's that rounded?

directrix · Answer

That is  correct. The hypotenuse is the longest side of a right triangle. That is a big clue that your first answer was wrong.

directrix · Answer

Rounded to how many places?

anonymous · Answer

Wow, thanks for the help.. i can't possibly thank you enough. You're a huge help! thanks for taking the time to answer and help me c:

anonymous · Answer

to the nearest tenth

directrix · Answer

For the nearest tenth, go to one place farther. If the digit in the hundredths slot is 5 or more round up the digit in the tenths slot. So what do you think the result will be?

anonymous · Answer

12.040?

directrix · Answer

12.04 is what we are working with

anonymous · Answer

ooh so its 12.04.. x = 12.04?

directrix · Answer

0 is in the tenths slot.

directrix · Answer

Is the digit in the hundredths slot equal to 5 or more?

anonymous · Answer

no its not

directrix · Answer

Then, to the nearest tenth, the answer is 12.0

anonymous · Answer

x = 12.0?

directrix · Answer

Yes, it does to the nearest tenth

anonymous · Answer

thank you so much for the help. really. thank you!!!!! you deserve 120124125 medals lol.

directrix · Answer

Glad to help