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Find the value of each variable. If your answer is not an integer, express it in simplest radical form
 8 months ago
 8 months ago
Find the value of each variable. If your answer is not an integer, express it in simplest radical form
 8 months ago
 8 months ago

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PsymonBest ResponseYou've already chosen the best response.0
Do you know your trig functions? Like what sin, cos, tan are in regards to a triangle?
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
nope not really
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
Ah. Alright, hang on then :P Keep in mind as I write these out, they are all in reference to the angle you are using.
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
that helps alot :DD
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
\[\sin = \frac{ opposite side }{ hypotenuse }\] \[\cos = \frac{ adjacent side }{ hypotenuse }\] \[\tan = \frac{ opposite side }{ adjacent side }\] People are ususally taught Soh Cah Toa as a way to remember which sides the trig functions refer to. Now again, these are in reference to your angle, so I'll draw that real quick.
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
That kind of make sense so far?
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
Okay, cool. So this is your triangle that we have then: dw:1375810542321:dw
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
In order to solve this, we need to choose an angle (not the right angle) and then an appropriate trig function, sin, cos, or tan. The one we choose must include the side we know, 10 in this case, and then the value we want to find. that make sense?
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
im not entirely sure how to use them though
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
Right, we're getting to that :P I just wanted to see if you were following me so far.
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
oh well yes im following ya
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
Okay, cool. So next part: Let's say to find x I choose the 60 degree angle. Now in reference to the 60 degree angle, x is on the adjacent side of it. The value we know is the hypotenuse. Now remember, in reference to the angle we use, we want to choose either sin, cos, or tan. The one we choose now needs to include the adjacent side and the hypotenuse dw:1375811355268:dw
 8 months ago

PsymonBest ResponseYou've already chosen the best response.0
So which one of the 3, sin, cos, or tan has adjacent and hypotenuse?
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
@Psymon cos?
 8 months ago

Zale101Best ResponseYou've already chosen the best response.0
cos = adjacent/hypotenuse so i think @psymon meant that
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
ive never used them so idk im used to using 306090
 8 months ago

Zale101Best ResponseYou've already chosen the best response.0
that's correct, because your triangle has 60, and we can predict the other angle is 90. And, 90+60+30=180
 8 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
in the 306090 rule the hypotenuse is TWICE as long as the SHORTEST side the "other side" is the SHORTEST side times \(\bf \sqrt{3}\)
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
ok so how do i do this problem
 8 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
is really pretty much handed out in a silver plate, with cake and ice cream really
 8 months ago

mathstudent55Best ResponseYou've already chosen the best response.1
In a 306090 triangle, the three sides of the right triangle are in the ratio of: \( 1 : \sqrt{3} : 2 \) That means that the shorter leg is 1/2 the length of the hypotenuse. The long leg is \(\sqrt{3} \) times the length of the short leg.
 8 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
if "the hypotenuse is TWICE as long as the SHORTEST side" what do you think is the length of the shortest side?
 8 months ago

mathstudent55Best ResponseYou've already chosen the best response.1
Here the hypotenuse is 10. The short leg is x. From the statement "the short leg is half the length of the hyopotenuse", what can you conclude about x?
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
dw:1375817625354:dw
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
short leg is 5 :DD
 8 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
so there, shortest leg is 5 and the "other leg" is THAT MUCH \(\bf \Large \times \sqrt{3}\)
 8 months ago

mathstudent55Best ResponseYou've already chosen the best response.1
Great. That is correct, the short leg, x = 5. The long leg, y, is \(\sqrt{3} \) times longer than the short leg. \( y = \sqrt{3} \times 5 \) What is y
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
so \[5\sqrt{3}\]
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
@mathstudent55 @jdoe0001
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
was that all i need to do???
 8 months ago

mathstudent55Best ResponseYou've already chosen the best response.1
correct \(x = 5\) \(y = 5\sqrt{3} \) That is it
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
horray thanks @mathstudent55 & @jdoe0001 & @Psmon @Zale101
 8 months ago

highschoolmom2010Best ResponseYou've already chosen the best response.1
wish i could give everyone a medal
 8 months ago
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