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highschoolmom2010
 3 years ago
Find the value of each variable. If your answer is not an integer, express it in simplest radical form
highschoolmom2010
 3 years ago
Find the value of each variable. If your answer is not an integer, express it in simplest radical form

This Question is Closed

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

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1nope not really

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

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1that helps alot :DD

Psymon
 3 years ago
Best 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.

Psymon
 3 years ago
Best ResponseYou've already chosen the best response.0That kind of make sense so far?

Psymon
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, cool. So this is your triangle that we have then: dw:1375810542321:dw

Psymon
 3 years ago
Best ResponseYou've already chosen the best response.0In 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?

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1im not entirely sure how to use them though

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

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1oh well yes im following ya

Psymon
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, 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

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

Zale101
 3 years ago
Best ResponseYou've already chosen the best response.0cos = adjacent/hypotenuse so i think @psymon meant that

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1ive never used them so idk im used to using 306090

Zale101
 3 years ago
Best ResponseYou've already chosen the best response.0that's correct, because your triangle has 60, and we can predict the other angle is 90. And, 90+60+30=180

jdoe0001
 3 years ago
Best ResponseYou've already chosen the best response.0in the 306090 rule the hypotenuse is TWICE as long as the SHORTEST side the "other side" is the SHORTEST side times \(\bf \sqrt{3}\)

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1ok so how do i do this problem

jdoe0001
 3 years ago
Best ResponseYou've already chosen the best response.0is really pretty much handed out in a silver plate, with cake and ice cream really

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1In 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.

jdoe0001
 3 years ago
Best ResponseYou've already chosen the best response.0if "the hypotenuse is TWICE as long as the SHORTEST side" what do you think is the length of the shortest side?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Here 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?

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1375817625354:dw

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1short leg is 5 :DD

jdoe0001
 3 years ago
Best ResponseYou've already chosen the best response.0so there, shortest leg is 5 and the "other leg" is THAT MUCH \(\bf \Large \times \sqrt{3}\)

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Great. 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

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1so \[5\sqrt{3}\]

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1@mathstudent55 @jdoe0001

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1was that all i need to do???

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1correct \(x = 5\) \(y = 5\sqrt{3} \) That is it

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1horray thanks @mathstudent55 & @jdoe0001 & @Psmon @Zale101

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.1wish i could give everyone a medal
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