Question

Please help!

Answer 1

Start by drawing any generic triangle ABC

Answer 2

A = 43 degrees
B = 62 degrees

we can find C
A+B+C = 180
43+62+C = 180
C = 75

Answer 3

yes, BC = 22 and AB = unknown

Let x = AB

Answer 4

yes I know that much

Answer 5

now you use the law of sines

sin(A)/a = sin(C)/c

sin(43)/22 = sin(75)/x

solve for x

Answer 6

\[\frac{ \sin43 }{ 22 } = \frac{ \sin75 }{ x }\]

Answer 7

I'm honestly not sure how to solve for x @jim_thompson5910

Answer 8

using a calculator, you should find that

sin(75) = 0.96592582628907
sin(43) = 0.6819983600625

Answer 9

replace sin(43) and sin(75) with those approx values

cross multiply and then solve for x

Answer 10

ooh ok thank you

Answer 11

this is what I got...

Answer 12

you can also do it symbolically like this

\[\Large \frac{\sin(43)}{22}=\frac{\sin(75)}{x}\]

\[\Large \sin(43)*x=22*\sin(75)\]

\[\Large x=\frac{22*\sin(75)}{\sin(43)}\]

\[\Large x=???\]

treating sin(43) and sin(75) as if they are variables

Answer 13

desmos is in radian mode by default

Answer 14

click the wrench icon and switch to degree mode

Answer 15

Is there a place to put degrees in desmos?

Answer 16

it's off to the right side

Answer 17

oh thank you

Answer 18

so the first one is D?

Answer 19

yeah I get 31.1589725471071 which rounds to 31.2

Answer 20

Thanks I think I can get the 2nd on my own

Answer 21

np

Answer 22

sorry I'm just using this to walk myself through it you can leave @jim_thompson5910

Answer 23

alright, feel free to ask if you get stuck anywhere

Answer 24

great I'm already stuck -.-

Answer 25

I'm not sure what to use to find r... @jim_thompson5910