Question

find m angle T
http://static.k12.com/eli/bb/817/-1/0/2_37302_44974/-1/b0c7bc40f7e5f494498c3168c8648c065cd7076e/media/1ffbb5452bc7b01f7797bf13360cfec23755f76b/mediaasset_652048_1.png

Answer 1

@LegendarySadist

Answer 2

last one lol @LegendarySadist

Answer 3

This would be law of cosines. Do you know what that is?

Answer 4

adj/hyp

Answer 5

That is what cosine is. I'm talking about the LAW of cosines. Do you know what it is or no?

Answer 6

ohh not really

Answer 7

Well it basically says that \[C^2=A^2+B^2-2(A)(B)\cos(c)\] The C is going to be the length of the side opposite the angle you are looking for and the c is the angle you are looking for.

Answer 8

im still confused can you plug that in and then ill solve @LegendarySadist

Answer 9

so C is 12 and c is T ?? then the rest ?? @LegendarySadist

Answer 10

\[12^2=19^2+22^2-2(19)(22)\cos(c)\] What you have to do is get c alone.

Answer 11

144=845-2(19)(22) cos(c)
ok do i multiply 2 by 19 then 2 by 22 then multiply them together ? im stuck here @LegendarySadist

Answer 12

Bring the 845 over by subtracting it on both sides. Multiply 2, 19, and 22 together. Then give me the results of that.

Answer 13

-701=836cos(c) @LegendarySadist

Answer 14

Ok, good. Now divide the 836 over.

Answer 15

-0.84=cos(c) @LegendarySadist

Answer 16

That would be a positive .84. The 836 should have been negative. But you would do the acos of it so\[c=acos(.84)\]

Answer 17

is that the answer @LegendarySadist

Answer 18

Well solve the acos(.84) and you'll get the answer

Answer 19

how do i do that? i dont have it on my calculator @LegendarySadist

Answer 20

acos should look like \[\cos ^{-1}\] on the calculator

Answer 21

32.86 @LegendarySadist

Answer 22

Yep, so the answer is 32.86 degrees.

Answer 23

thank you sooo much for helpingg!!! @LegendarySadist

Answer 24

No problem :)