Question

Analyze the diagram below and complete the instructions that follow.

Answer 1

Law of Cosines says

`b^2 = a^2 + c^2 - 2 ac \cos B`

`2 a c \cos B = a^2 + c^2 - b^2`

`\cos B = (a^2 + c^2 - b^2)/(2 a c)`

`\cos B = (16^2 + 16^2 - 11^2)/(2(16)(16)) = ( 391)/(512)`

`B = \arccos ( 391)/(512) \approx 40.2 ^\circ`

Choice C