Question

IM BACK :)
Given 🔺ABC with a = 24, angle A = 108⁰ and angle B = 33⁰, find b. Round the sine value to the nearest thousandth and the answer to the nearest hundredth.



39.00


17.83


15.88


13.75

Answer 1

@sweetburger :) Sean can you help

Answer 2

This question we can use the law of sins.
\[\sin a /a = \sin b /b\]
So we can write this as

Answer 3

s\[\sin(108)/ 24 =\sin(33)/b\]

Answer 4

we can rewrite this to look like b *sin(108) = 24*sin(33)

Answer 5

divide both sides by sin(108) and you will have b by itself

Answer 6

couldnt you just cross multiply?

Answer 7

Yes, that is what I did.

Answer 8

so wouldnt we just simplify it?

Answer 9

0.95*B=0.54*24
0.95*B=12.96
B=13.6

why would we divide both sides by sin(108)?

Answer 10

whoops i messed up one sec

Answer 11

well the way you did it, it would be unecessary to divide both sides by sin(108) because instead you didvided both sides by .95

Answer 12

which is basically the same thing written 2 different ways

Answer 13

0.951*B= 0.545*24
0.951*B=13.08
B=13.75

And oh i get it now :)

Answer 14

looks good gj @RhondaSommer

Answer 15

ok so now i have to find c

Answer 16

But ill just tag you again :)

Answer 17

ok