Question

Please help fast! AB=?

Answer 1

AB = 29

Explanation:

Law of Sines:

`(9)/(sin 16)` =
`(x)/(sin 63)`

cross-multiply:

x·sin(16°) = 9·sin(63°)

x =
`(9sin63)/(sin16)`

x = 29

Answer 2

∠A = 180° - (63°+101°)=16°

sine's rule

`\tt (AB)/(sin~C)=(BC)/(sin~A)\\\\(AB)/(sin~63)=(9)/(sin~16)\\\\AB=29.09`