Question

Find the value of e.
http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/b/assessments/R-LawsofSinesandLawofCosinesQuiz/Geometry_8.4_Quiz_FINAL_8q.png

Answer 1

Because we are given the value of P, p, and E, we can use law of sines. \[\dfrac{\sin P}{p} = \dfrac{\sin E}{e}\]

Answer 2

hmm...ok then what?

Answer 3

I hope this isn't from final quiz :)

Answer 4

no it's not. it's from a take home test.

Answer 5

Well, solve for e? Plug in values, do little algebra.

Answer 6

i don't know how :(

Answer 7

@hba please. i'm so confused

Answer 8

Plug them in vera and solve for e.

Answer 9

plug what in?

Answer 10

can you show me?

Answer 11

The angles.

Answer 12

and p

Answer 13

sin(44)/17=sin(60)/e

Answer 14

i have no idea what to do after that

Answer 15

.-.

Answer 16

i'm sorry. i'm confused about this concept.

Answer 17

no idea? You just need to isolate e.

Seriously, if you are learning how to use law of sines, you should know basic algebra

Answer 18

So we have \(\dfrac{\sin(44^o)}{17} = \dfrac{\sin(60^o)}{e}\).

Maybe we can do cross-multiply? We can try that.

Answer 19

ok so sin(44)(e)=sin(60)/17

Answer 20

sin(60)(17) ?

Answer 21

Yep that's right, now none are in denominator. that's better!

But we need to isolate e. what to do with sin(44)?

Answer 22

i'm not sure

Answer 23

maybe divide or something? what do you think?

Answer 24

i guess we could could divide.

Answer 25

yeah. we divide both sides by what?

Answer 26

44?

Answer 27

well, 44 is in sine function, you mean sin(44)?

Answer 28

yes

Answer 29

okay, so we do that.

\[e\cdot\sin(44) = 17\sin(60) \\ \dfrac{e ~ \cancel{\sin(44)}}{\cancel{\sin(44)}} = \dfrac{17\sin(60)}{\sin(44)} \\ e = \dfrac{17\sin(60)}{\sin(44)}\]
Is this clear?

Answer 30

we still have more simplifying to do? right?

Answer 31

@geerky42 ?

Answer 32

well, you can solve sin(60), but for sin(44), you would need to use calculator. so pretty much you just calculate \(\dfrac{17\sin(60)}{\sin(44)}\)

Answer 33

What do you get?