Question

PLease help me it says use cosine law

Answer 1

Answer:59

Step-by-step explanation:

C2=a2+b2-2ab cosC

13x13=15x15+6x6-2(15)(6)cosC

169=225+36-180cosC

169=261-180cosC

-92=180cosC

-92/-180=cosC

C=arccos92/180. On your calculator it will say cos-1

C=59.23 or m<B = 59. Rounded to the nearest degree.

Answer 2

59 degrees

Explanation:

law of cosines states that

for sides A B C and angle c opposite to side C,

`C = √(A^2 + B^2-2ABcos(c)) \\cos(c) = (c^2-a^2-b^2)/(-2ab)`

cos(b) =
`(13^2-6^2-15^2)/(-2(6)(15)) = 23/45`

cos-1(23/45) = b

b = 59