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anonymous
 one year ago
In right ∆ABC, angle B = 90°, angle C = 40°, and angle BC = 10. What are the other two side lengths of the triangle?
A) AC = 13.1, AB = 8.4
B) AC = 18.7, AB = 15.8
C) AC = 14.3, AB = 10.2
D) AC = 15.6, AB = 11.9
anonymous
 one year ago
In right ∆ABC, angle B = 90°, angle C = 40°, and angle BC = 10. What are the other two side lengths of the triangle? A) AC = 13.1, AB = 8.4 B) AC = 18.7, AB = 15.8 C) AC = 14.3, AB = 10.2 D) AC = 15.6, AB = 11.9

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Could really use the help, don't have to give me the answer outright just need to know how to solve this problem, can someone please guide me in the right direction? thank you.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3dw:1434457799463:dw \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3so you need one angle and one side to find the other side of right triangle after that you can apply Pythagorean theorem

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Ahh so I solve it using SOHCAHTOA which is what my teacher taught me awhile back, I haven't done this sort of stuff in forever, might need some more assistance haha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3as you can there is one angle and 2 sides in SOHCAHTOA formula i posted above so you need one angle and one side to solve for 3rd variable cos = adjacent over hyp so we to use cos function \[\huge\rm \cos (40) = \frac{ 10 }{ h }\] h = hypotenuse solve for h

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3dw:1434458317996:dw adjacent side that touch the angle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha I got D as my answer

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3\[\huge\rm \cos (40) = \frac{ 10 }{ h }\] solve for h and it's 40 degree

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3do you know how to solve for h ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Yea, I ended up getting 7.66

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3what is cos(40) make sure mode is 'n degree

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha I got cos(40)=0.76604=10/h then I rearranged that, then multiplied 0.7660 x 10 and that was what I got, im trying to get an idea from this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha https://www.mathsisfun.com/algebra/trigfindingsiderighttriangle.html

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3\[\huge\rm .766=\frac{ 10 }{ h }\] you should multiply both sides by H not by 10

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3\[\huge\rm .766 \times h = \frac{ 10 }{\cancel h} \times \cancel{h}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Then divide both sides by .766? I ended up getting 13.054 or 13.1

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3right dw:1434460279833:dw now you can apply Pythagorean theorem to find 3rd side of right triangle \[\huge\rm a^2 +b^2 =c^2\] plug in values and solve for 3rd side remember c is the longest side of right triangle which is hypotenuse

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright I did 10^2+b^2=13.1^2 then got 100+b^2=171.61 then subtracted 100 from both sides got b^2=71.61, I squared both sides and got B=8.4622

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3b^2 = 71.61 so b=what ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so its A, thank you so much haha, idk if you would be willing to help me with one more problem considering how long it took awhile to complete this haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha haha ok thank you, I appreciate it In ∆ABC, angle B is a right angle and tan A = 13/16 . What is angle C ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3what's the definition of tan ?? look at my first comment tan equal what ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0opposite over adjacent

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3yes now draw a right triangle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Alright done

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3dw:1434461030870:dw which side is 13 and which one is 16 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0opposite should be 13 and adjacent should be 16?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3yes right u should write 13 and 16 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha It looks funny to me, the adjacent side is longer than the opposite side?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3that doesn't matter hypotenuse should be bigger than other 2 sides doesn't matter a is longer or b

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3which side is opposite of angle A ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha the side that's 13

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3yes so dw:1434461354773:dwwhere u should write 13 ? and where suppose to be 16 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0between A and B would be the 13 and between B and C would be the 16

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3dw:1434461430223:dw yep right now tanC = opposite over adjacent substitute values solve for C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Im having difficulty understanding what to do >_< would I multiply both sides by one of the numbers or?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3did u substitute values of opposite and adjacent side let me know u get after that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok yea I just push in Tan(C)=13/16

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3well wait we did it wrong

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3tan A = 13/16 not tan C

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3so it should be like this dw:1434462085204:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Ahhh ok, I knew something was off, so then Tan(C)=16/13

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3now tan = opposite over adjacent \[\huge\rm tan (C)= \frac{ 16 }{ 13 }\] yes that's right

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3so u need to find invs of tan \[\huge\rm C = \tan^{1} \frac{ 16 }{ 13 }\] use calculator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, I got 0.8884

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3make sure mode 'n degree

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Yea, it keeps giving me the same answer for some reason C=0.88847979

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3bec mode of calculator is on rad so it should be on degree

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3hit rad and then type that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got this now C=50.906141113771

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Thank you for everything, I really appreciate it
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