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Mathematics 10 Online
OpenStudy (umarsback):

Trigonometry help please! im bad at this.

OpenStudy (umarsback):

OpenStudy (shamil98):

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?

OpenStudy (shamil98):

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: \[\Huge \sin~60° = \frac{ 12 }{ z}\] \[\Huge z = \frac{ 12 }{ \sin~60° }\]

OpenStudy (shamil98):

Use your scientific calculator and find out what sin 60 ° is then just simplify that.

OpenStudy (umarsback):

okay so z = 12sqrt26

OpenStudy (shamil98):

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.

OpenStudy (umarsback):

im so confused right now D:

OpenStudy (shamil98):

Solve for b. umar

OpenStudy (shamil98):

I can't do all the work >.>

OpenStudy (shamil98):

|dw:1386401029483:dw| The Pythagorean theorem states: \[\huge a^2 + b^2 = c^2\]

OpenStudy (umarsback):

isnt b = 12? in the picture?

OpenStudy (shamil98):

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.

OpenStudy (shamil98):

and for this case if you really want to be on "term" a = 12 not b.

OpenStudy (shamil98):

this isn't a 45-45-90 triangle it's a 30-60-90 triangle so the legs aren't congruent.

OpenStudy (shamil98):

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.

OpenStudy (shamil98):

You'll end up with the same exact values.

OpenStudy (umarsback):

omfg Dx I got 18. can you give me the formula for b?

OpenStudy (shamil98):

\[\huge b^2 = c^2 - a^2\]

OpenStudy (umarsback):

so b = -48?

OpenStudy (shamil98):

no no ..

OpenStudy (umarsback):

omfg im so bad at this

OpenStudy (shamil98):

\[\huge b^2 = (8 \sqrt{3})^2 - (12)^2\]

OpenStudy (shamil98):

I can tell.

OpenStudy (shamil98):

Hint, 12^2 = 144 and (8√3)^2 = 192.

OpenStudy (umarsback):

i did that tho!! on a calculator..

OpenStudy (umarsback):

so b = 18.3?

OpenStudy (shamil98):

b^2 = 48 b = √48

OpenStudy (shamil98):

b = 4√3

OpenStudy (umarsback):

lol fml

OpenStudy (shamil98):

Umar, a calculator might help, please learn how to use it -_-

OpenStudy (shamil98):

or at least find the radical value -.- through algebra

OpenStudy (umarsback):

so lucky that was the last question :( and im just bad at math bruh, trigonometry to be exact

OpenStudy (shamil98):

\[\huge √48 = \sqrt{16 * 3} = 4\sqrt{3}\]

OpenStudy (umarsback):

thanks alot. im gonna re-read the chaptor and go on khan academy or something.

OpenStudy (shamil98):

we're not done yet, umar.

OpenStudy (shamil98):

y = 4 √3 z = 8√3 what is x?

OpenStudy (umarsback):

WOOOOOW omg

OpenStudy (shamil98):

Umar, you need to pay attention .

OpenStudy (shamil98):

lolol

OpenStudy (umarsback):

okay teacher :( im just sleepy i guess. so we do the same for x??

OpenStudy (shamil98):

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

OpenStudy (shamil98):

you don't need trig for this, just able to remember these theorems or google them lol

OpenStudy (umarsback):

okay thanks. imma read that right now.

OpenStudy (shamil98):

mk

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