Respuesta :

Answer:

33.95m

Step-by-step explanation:

[tex]\frac{33}{sin(60)} = \frac{c}{sin(63)}[/tex]                  *Cross multiply*

[tex]c(sin(60)) = 33(sin(63))[/tex]    *Divide by sin(60)*

[tex]c = \frac{33(sin(63))}{sin(60)}[/tex]                     *Solve*

[tex]c = 33.95m[/tex]

Triangle angles are always 180 ( mathematical proof) and we have 2 already so we determain the this one is 57

we can now use law of sin ( SinA/a = SinB/b = SinC/c ) or we can reform it to ( a/SinA = b/Sinb etc )

we have AC is 33 and sin b (60 degrees)is (root of 3/2) and AB is unknown and sin c ( 63 degrees )

after reform AB = (33 * sin (63) ) / sin 60 = 33.95m


extra info .

you use law of sine if you hace 2 ( or more ) angles and a side or 2 sides ( or more ) and one angles


you use the law of cos when having two side and an angles THAT IS IN BETWEEN THEM