Question

Find the value of y to the nearest whole number.



177 197
239 396

Answer 1

do you know what the laws of cosine and sine are?

Answer 2

no i do not

Answer 3

ok. do you have anything specific you are supposed to use to solve this?

Answer 4

nope

Answer 5

ok so i'm going to use the law of sines just because it is actually pretty simple. it says that for the sides of a triangle a, b, and c with corresponding angles A, B, and C a/sinA=b/sinB=c/sinC. does that make a little bit of sense?

Answer 6

kinda

Answer 7

ok since we know the angle Y is 48 degrees y/sin(48)=265/sin(90). then you just have to solve it for y

Answer 8

y/sin(48)=265/sin(90)


ysin(90)=265sin(48)


y=265sin(48)

y=197

Answer 9

did that make sense? its ok if it didnt

Answer 10

not really i mean ill look at it carefully t get a better understanding

Answer 11

yeah im trying to find an easier way to do it. give me a sec

Answer 12

alright take ur time

Answer 13

do you have your math textbook on hand by any chance?

Answer 14

yeah

Answer 15

what book is it?

Answer 16

it just has geometry on the cover ;[

Answer 17

no pictures or anything? no publisher?

Answer 18

@sourwing do you know how to do this without using law of sines?

Answer 19

why would you want to use law of sine when it's already a right triangle? Just use definition of sine and cosine

Answer 20

you mean like sine=adjacent/hypotenuse? there are two variables though

Answer 21

sin(theta) = opp/hyp
sin(42) = x/265
cos(42) = y/265

just solve for x and y

Answer 22

oh yeah sorry. ok so we would need to know sin(42) and cos(42). @cutecupcake how much work do you need to show? could you just say cos(42)=197=y?

Answer 23

just use a calculator

Answer 24

true

Answer 25

yeah i dont need to explain why or anything but id like to know you now :)

Answer 26

so its 197?

Answer 27

yeah it is

Answer 28

oh okay gotcha