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OpenStudy (anonymous):

find the value of x.Round to the nearest tenth.

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

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?

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.

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

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?

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

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

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