Question

Someone please help me

Answer 1

Explanation:

They did not indicate that this is a right triangle so you must use law of sin or cos to to solve.

Law of Cos

c² = a² + b² - 2ab cos C

c² = 16² + 4.6² - 2(16)(4.6) cos 74

c² = 236.59

c = 15.38

AB= 15.38

Law of Sin

`(sin C)/(c) = (sin B)/(b)`

`(sin 74)/(15.38) = (sin B)/(4.6)`

`4.6(sin 74)/(15.38) = {sin B}`

sin B = 0.287

B = sin⁻¹ 0.287

B =16.71

A = 180-C-B

A= 180-74-16.71

A=89.29