Question

in the following triangle, theta= 60. find the values of the angles B and B', which solve this ambiguous case

Answer 1

@triciaal
@DanJS

Answer 2

@jim_thompson5910

Answer 3

@Directrix

Answer 4

ANYONE? GETS A MEDAL AND LOTS OF THANKS

Answer 5

Since the smaller triangle has equal length legs, the two angles opposite those legs are equal...
So you can form a straight line with B and B'
B + B' = 180

Answer 6

so the two that add up 180? will be? @DanJS

Answer 7

you can use the law of sines or cosines to figure out what B' will be. Have you gone over those yet?

Answer 8

YEAH, I still get confused

Answer 9

\[\frac{ \sin(60) }{ 12.3 } = \frac{ \sin(B ') }{ 13 }\]

Answer 10

cross multiply?

Answer 11

That will give you B '

THen use the fact that B + B ' = 180 , to get B

Answer 12

31.96?

Answer 13

148.04? @DanJS

Answer 14

I got 113.75 and 66.25 for the pair

Answer 15

When you solve, you get 66.25, recall from symmetry of the unit circle, that the sin of the angle is the Y coordinate, ...like this