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anonymous
 one year ago
Will Medal!
The measure of theta, in degrees, is approximately 48.8 degrees?
A. True
B. False
(Picture Below)
***My Answer: B***
anonymous
 one year ago
Will Medal! The measure of theta, in degrees, is approximately 48.8 degrees? A. True B. False (Picture Below) ***My Answer: B***

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1do have any reasons why you think it's B?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1did you use the law of Cosines? cos A = \[\cos A = \frac{(b^2+c^2a^2)}{2bc}\] \[\cos B = \frac{(c^2+a^2b^2)}{2ca} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I used the formula: \[c ^{2} = a ^{2} + b ^{2} 2ab cosC\]

zeesbrat3
 one year ago
Best ResponseYou've already chosen the best response.0Couldn't you just use arccos?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1hmmm but I want cos C to be by itself and it's easier to grab the angle A and B first.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now that I see the formulas you gave me, I think I may be doing the wrong formula.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1@zeesbrat3 arccos is later into the formula... you have to find angle A and angle B first .. since this is all S S S (side side side)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1c is supposed to be the longest side a.k.a hypotenuse

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. The laws of cosines were getting me confused for a second.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we would have a = 5.3 b = 4 and c = 7?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I need letters first... we need to redraw the triangle with A B C and then look across for our a b c dw:1434936158533:dw ok let's use those values

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so that would mean ... a = 5.3 , b=4, and c = 7... now we use Cos A to find Angle A

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos A = \frac{(b^2+c^2a^2)}{2bc} \] you just have to plug in those values.. and simplify

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Great! Thank you! So we would have cos A = 0.66?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then in degrees it would be 37.8 degrees?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1this is where you need to use \[\cos^{1}(0.66) \] and then you use a calculator to find the degrees of it

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1Can I just double check this for a sec? ^_^ so fast

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok! Yeah go ahead :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos A = \frac{(4^2+7^25.3^2)}{2(4)(7)}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh nevermind I got 48.7 degrees

zeesbrat3
 one year ago
Best ResponseYou've already chosen the best response.0I got \[\cos \theta = .6835\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos A = \frac{(16+4928.09)}{56} \rightarrow \frac{36.91}{56} \rightarrow 0.659 \rightarrow 0.66\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos^{1}(0.66) \rightarrow 48.7\] I also got 48.7 degrees

zeesbrat3
 one year ago
Best ResponseYou've already chosen the best response.0My bad, I used 54 as the denominator, not 56... ignore the blonde...

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1ok cool... we got angle A = 48.7 degrees... Now we need angle B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh whoops for the the rest of the equation haha

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1let's try and solve further.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos B = \frac{(c^2+a^2b^2)}{2ca} \] c = 7, b = 4, a = 5.3

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1back the equation tool gave me a hard time

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got around 35.1 degrees (34.95 not rounded)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos B = \frac{(7^2+5.3^24^2)}{2(7)(5.3)}\] \[\cos B = \frac{(49+28.0916)}{74.2}\] \[\cos B = \frac{61.09}{74.2}\] \[\cos B = 0.84\] \[\cos^{1}(0.84) =31.95 > 32\] huh that's odd... how did you get 35.1 degrees?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0another approach when given only the 3 sides use cosine rule to find largest angle opposite longest side

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1oh wait I got the division wrong \[\frac{61.09}{74.2} = 0.823 \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos^{1}(0.823) = 34.58\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1anyway .. let's just assume that Angle B = 34.58 Angle A = 48.7 to find Angle C.. we use the fact that angles of a triangle must add up to 180 degrees Angle C = 18048.734.58 I will also take the 35.1 into consideration for Angle B Angle C = 18048.735.1

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434937131238:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1Assuming that Angle B is 34.58 Angle C = 18048.734.58 = 96.72 Assuming that Angle B is 35.1 Angle C = 18048.735.1=96.20 But I think ... in the drawing... only one angle is being considered.

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434937491614:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0With rounding error true

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I had angle A almost close to 48.8 as well because when I divided \[\frac{36.91}{56} \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.148.76 since the number after the decimal point is greater than 5 I can round up and it does become 48.8

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1if rounding isn't required then it wouldn't be 48.8 but that's cutting it close..
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