Trigonometry help please! im bad at this.
60 degrees is opposite to the leg which has a value of 12. First, we need to find z, by using the sine function. It states sine theta = opposite / hypotenuse So: sin 60° = 12/z Can you solve for z?
Here is a nice way of looking at it When you have a fraction and variable is in the denominator you cross multiply or if it is equal to a fraction so: \[\Huge \sin~60° = \frac{ 12 }{ z}\] \[\Huge z = \frac{ 12 }{ \sin~60° }\]
Use your scientific calculator and find out what sin 60 ° is then just simplify that.
okay so z = 12sqrt26
that value is wrong.. z = 8 √3 anyways now you have two of your values in a right triangle from here just use the Pythagorean theorem \[\huge a^2 +b^2 = c^2\] \[\huge (12)^2 + b^2 = (8\sqrt{3})^2\] solve for b, in this case b = y.
im so confused right now D:
Solve for b. umar
I can't do all the work >.>
|dw:1386401029483:dw| The Pythagorean theorem states: \[\huge a^2 + b^2 = c^2\]
isnt b = 12? in the picture?
It's either, it doesn't matter a^2 + b^2 = c^2 you could say a = 12 ,or b = 12 you still have one missing value.
and for this case if you really want to be on "term" a = 12 not b.
this isn't a 45-45-90 triangle it's a 30-60-90 triangle so the legs aren't congruent.
You could use the 30-60-90 triangle theorem for this as well, or use trigonometric functions sine and cosine to solve for the missing variables.
You'll end up with the same exact values.
omfg Dx I got 18. can you give me the formula for b?
\[\huge b^2 = c^2 - a^2\]
so b = -48?
no no ..
omfg im so bad at this
\[\huge b^2 = (8 \sqrt{3})^2 - (12)^2\]
I can tell.
Hint, 12^2 = 144 and (8√3)^2 = 192.
i did that tho!! on a calculator..
so b = 18.3?
b^2 = 48 b = √48
b = 4√3
lol fml
Umar, a calculator might help, please learn how to use it -_-
or at least find the radical value -.- through algebra
so lucky that was the last question :( and im just bad at math bruh, trigonometry to be exact
\[\huge √48 = \sqrt{16 * 3} = 4\sqrt{3}\]
thanks alot. im gonna re-read the chaptor and go on khan academy or something.
we're not done yet, umar.
y = 4 √3 z = 8√3 what is x?
WOOOOOW omg
Umar, you need to pay attention .
lolol
okay teacher :( im just sleepy i guess. so we do the same for x??
anyways im too tired to give you a very verbose paragraph explaining that.. you should know this its a 45-45-90 triangle its hyp = 12 so x = 12√3 h = L √3
you don't need trig for this, just able to remember these theorems or google them lol
30-60-90 http://www.regentsprep.org/regents/math/algtrig/ATT2/Ltri30.htm 45-45-90 http://www.regentsprep.org/regents/math/algtrig/ATT2/Ltri45.htm
okay thanks. imma read that right now.
mk
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