Question

Assume standard triangle notation. Given angle A = 56°, side a = 10 in, and side b = 8 in, solve for angles B and C and the length of side c. Express answers to nearest hundredths.

Answer 1

Would I use the law of sines?

Answer 2

yep
use the Sine rule to get "B"
then use the fact that "Sum of all internal angles of a triangle equals 180" to find "C"

Answer 3

and use sine rule one last time to get "c"

Answer 4

Okay, thank you. Can you make sure I'm doing it right? I'm a bit rusty on trig. 10/sin(56)=8/sin(B)?

Answer 5

yep

Answer 6

so far so good

Answer 7

Then I would get (8sin(56))/(10sin(B))?

Answer 8

go on

Answer 9

I got -4.172 for 8sin(56)

Answer 10

good. next, divide by "8"

Answer 11

I thought you would divide by 10

Answer 12

right.. :)

Answer 13

I got -.4172, would that be right?