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Mathematics 10 Online
OpenStudy (anonymous):

Can someone help me? Not sure how to solve this problem. (Do I use sin, cos, or tan?)

OpenStudy (anonymous):

OpenStudy (noseboy908):

Well, it depends. Pick which interior angle you wish to use. (Just not the 90° angle)

OpenStudy (noseboy908):

@Bubbles1204

OpenStudy (anonymous):

@noseboy908 sorry, slow computer. how about 28 degrees

OpenStudy (noseboy908):

Alright, so are you familiar with the opposite, adjacent, and hypotenuse rules of Sin, cos, and tan?

OpenStudy (anonymous):

Kind of , I've been having a hard time understanding cos, sin, and tan though

OpenStudy (noseboy908):

Alright, no problem. Have you ever heard of good ol' chief SohCahToa?

OpenStudy (anonymous):

Yes, Sine opposite hypotenuse, Cosine adjacent hypotenuse, and Tan ( I don't know)

OpenStudy (noseboy908):

Try using the acronym I just used. what comes after the "T"?

OpenStudy (anonymous):

o, would that be opposite?

OpenStudy (noseboy908):

yep, and after that?

OpenStudy (anonymous):

A, for adjacent?

OpenStudy (noseboy908):

Yep. So which one relates what the side length of 50 to the unknown variable, witch represents the hypotenuse?

OpenStudy (anonymous):

I don't understand what your asking, ah I'll be right back though, I have to do something real quick

OpenStudy (noseboy908):

Ok.

OpenStudy (noseboy908):

What I'm asking is: Which of the three trig functions you see above includes what the length "50" is to the angle, as well as what the length "x" (which you obviously need to solve for) is to the angle you picked. Remember that those two must be either Adjacent, Opposite, or the Hypotenuse.

OpenStudy (anonymous):

Would it be adjacent?

OpenStudy (noseboy908):

Let me draw you an illustration, and then see if you can answer me.

OpenStudy (anonymous):

Okay (sorry "-.- I know its hard teaching me)

OpenStudy (noseboy908):

No need to apologize, If I was annoyed by people who didn't understand math, then why would I be here?

OpenStudy (anonymous):

Haha I suppose so, it's just I don't understand things right away, and im in advanced math but I understand very little about it. And math intimidates me ;-;

OpenStudy (noseboy908):

|dw:1393900260770:dw|

OpenStudy (noseboy908):

And I'll make another drawing to show how O & A trade places when the angle to be found is moved.

OpenStudy (noseboy908):

|dw:1393900583253:dw|

OpenStudy (anonymous):

So in my case, H is x, 28 is A, and 50 is O

OpenStudy (anonymous):

Is that right?

OpenStudy (noseboy908):

Almost. You stated that 28 might be the A, but isn't that the angle you're working with? Also, note that angles are never Opposites, Adjacents, or Hypotenuse's. Don't bother with the Adjacent in this problem. Since it has neither length given or variable assigned, then it's irreverent in this problem.

OpenStudy (anonymous):

Ah okay, then what do I do?

OpenStudy (noseboy908):

Firstly, please restate what you know, from what you said above, but without the guess about the Adjacent side.

OpenStudy (anonymous):

about sine, cosine, and tan?

OpenStudy (noseboy908):

Well, about what you know is the Opposite and Hypotenuse.

OpenStudy (anonymous):

Ah, um that x is the hypotenuse and 50 is the opposite angle?

OpenStudy (noseboy908):

Correct! Now answer me this: What trig function relates H and O?

OpenStudy (anonymous):

Sin?

OpenStudy (noseboy908):

Correct! Now, restate the formula for sine please.

OpenStudy (anonymous):

The formula? Like Sine, Opposite, hypotenuse?

OpenStudy (noseboy908):

Yes, but the formula itself. For instance, if I wanted to know the tangent formula, what i'm asking for is "T(degree)=O/A"

OpenStudy (anonymous):

Sin(28)=x/50?

OpenStudy (noseboy908):

Yep! Firstly then, use either a calculator (make sure it's in degrees), or google ("sin28°" in a google search) to find the exact answer for sin(28°)

OpenStudy (anonymous):

0.469

OpenStudy (noseboy908):

Correct, now multiply that by the denominator of the right side, "50".

OpenStudy (anonymous):

23.45

OpenStudy (noseboy908):

Correct. There's your final answer.

OpenStudy (anonymous):

Yay! Thank you so much!

OpenStudy (noseboy908):

You are most welcome. If you ever need my help again, just mention my name in a reply. I'll help as soon as I can.

OpenStudy (anonymous):

Kay thank you(:

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