Question

Use the law of sines to solve for m 12 years ago

Answer 1

here is a image

Answer 2

solve for <A, first
csinA = asinC
54 sinA = 45 sin67

Answer 3

ok i got 51.201

Answer 4

ok, then
A + B + C = 180
51.201 + B + 67 = 180
solve for <B

Answer 5

i rounded 51.201 to 51.3. and i got 61.7 but thats not one of the options

Answer 6

that's depend whats the value of <B, i got B = 50.1
show to me your options

Answer 7

62.3
63.9
62.9
60.9

Answer 8

yes, i got <B = 62.9

Answer 9

i meant <A = 62.9

Answer 10

so hot do i find b?

Answer 11

use law of sine or cosine, they are good methode

Answer 12

b^2 = a^2 + c^2 -2ac cosB

Answer 13

i dont know how. its hard for me

Answer 14

that's the law of cosine

b^2 = a^2 + c^2 -2ac cosB
b^2 = 45^2 + 54^2 -2(45)(54) cos(50.1)
solve for b

Answer 15

got it ?

Answer 16

no:(

Answer 17

b^2 = a^2 + c^2 -2ac cosB
b^2 = 45^2 + 54^2 -2(45)(54) cos(50.1)
b^2 = 2025 + 2916 - 4860 (0.641)
b^2 = 4941 - 3115.26
b^2 = 1825.74
b = squareroot(1825.74) = ....... ?

Answer 18

42.728

Answer 19

yes

Answer 20

thats not one of the options though

Answer 21

what are they ....

Answer 22

62.3
63.9
62.9
60.9

Answer 23

arent that for the measurement angle B ?

Answer 24

yeah. thats what im looking for

Answer 25

ohhhh that was side b

Answer 26

that's already clear above, and we are solving for length b,right :)

Answer 27

wait, so m<B is what? im confused :(

Answer 28

<B = 50.1 degrees

Answer 29

but that wasnt one of the opptins...

Answer 30

sorry, i got backward. error from me.. :)
i mean, i got <A = 50.1 and <B = 62.9

Answer 31

it was 62.9

Answer 32

yes, that's i mean

Answer 33

ok

Answer 34

dont angry, just typo error above :)

Answer 35

so, we are not finding the length of side b ?
but it's already done

Answer 36

well i was taking a quiz and it asked fr m<B. but it was timed and i got timed out. im going to take it agian soon though so ill have more questions. im not good at law of sines