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OpenStudy (anonymous):
x is the height the hypotenuse side is 14 and the angle is 33degrees
OpenStudy (anonymous):
shadow u there
OpenStudy (shadowfiend):
Depending on whether the x is adjacent or opposite of the angle, use either sin or cos. You can set it up something like this:
\[\sin 33 = \frac{x}{14}\]
And solve for x. Make sure that you use sin or cos, whichever one is appropriate, though.
OpenStudy (anonymous):
so how do i write that on the ti 30x calculator
OpenStudy (anonymous):
x is oposite to 33degrees and hypothenuse is 14
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OpenStudy (shadowfiend):
So which is appropriate, sin or cos? Which ratio involves both the opposite and the adjacent?
OpenStudy (anonymous):
so i need sine
OpenStudy (anonymous):
sin
OpenStudy (shadowfiend):
Right.
OpenStudy (shadowfiend):
So how do you solve the above equation for x?
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OpenStudy (anonymous):
i guess i press sin then put 33 divided by 14
OpenStudy (anonymous):
do i press sin then (33 / 14)
OpenStudy (anonymous):
or 33sin(14)
OpenStudy (shadowfiend):
Not divided by 14.
OpenStudy (shadowfiend):
Multiply. But yes, sin then 33 then times 14 would do it, and 14 then times then sin 33 should also work.
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OpenStudy (anonymous):
i got 7.98
OpenStudy (shadowfiend):
Hm. Should be 13.998 or so.
OpenStudy (anonymous):
i get .9 or 7.6 or .007 can u show me a formula on how u did it
OpenStudy (shadowfiend):
14 * sin(33). It's the only solution to the equation above.
OpenStudy (anonymous):
i got the same thing 7.62494649
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OpenStudy (shadowfiend):
Simpler calculators may require you to do:
33
<sin button>
<x button>
14
<=>
OpenStudy (anonymous):
i got the texas instrument TI-30XTIS
OpenStudy (anonymous):
i just got 7.983422555
OpenStudy (shadowfiend):
And I have no idea how it works :) I'm just guessing.
OpenStudy (anonymous):
so u dont know how to do it?
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OpenStudy (shadowfiend):
On your calculator? No idea.
OpenStudy (anonymous):
it cant be 13.998
OpenStudy (anonymous):
since hypotenuse is 14
OpenStudy (shadowfiend):
I'm an idiot, I'm sorry.
OpenStudy (anonymous):
shadow can u put the sine cosine tangent formulas again see if im right
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OpenStudy (shadowfiend):
7.6 was correct. I've been using degrees where things expected radians.
OpenStudy (anonymous):
ur not an idiot mistakes are always made that is what makes us humans
OpenStudy (anonymous):
is it 33 sin(14) or 14 sin (33)
OpenStudy (shadowfiend):
It's 14 sin(33)
OpenStudy (anonymous):
in a cosine let say its the same numbers how u find the end result