Question

Help with law of sines

Answer 1

Use the Law of Sines to solve (if possible) the triangle for the value of c. Round answers to the nearest tenths. A = 18.92°, a = 48.35 yd, b = 105 yd

Answer 2

We can't really solve for c.. Cane we?

Answer 3

@xapproachesinfinity Could you assist?

Answer 4

We can't solve for c because we don't have angle B

Answer 5

\[180-B-18.92\]

Answer 6

we have to have angle B to get angle C which is very necessary in finding c

Answer 7

you can solve for angle B though using law of sines

Answer 8

really?

Answer 9

then we can find angle C using the formula you posted above
then you can find side c using law of sines

Answer 10

so \[\frac{ 48.35 }{ \sin18.92 }=\frac{ 105 }{ sinB }\]

Answer 11

so b is 105 not 10

Answer 12

\[B=\sin ^{-1}\frac{ 105\sin18.92 }{ 48.35 }\]

Answer 13

44.76 degrees?

Answer 14

That is what I have as well

Answer 15

180-44.76-18.92=116.32

Answer 16

yep
not you get to use law of sines one more time to find c :p

Answer 17

so\[\frac{ 48.35 }{ \sin18.92 }=\frac{ c }{ \sin116.32 }\]

Answer 18

\[c=\frac{ 48.35\sin116.32 }{ \sin18.92 }\]

Answer 19

133.7 yds?

Answer 20

yes that is what I have if I round what I have to the nearest tenths

Answer 21

woop. This stuff is so much more easier than fundamentals

Answer 22

You are doing awesome.
You are solving these equations like no one's business.

Answer 23

Thanks man :p