Question

Option 2:

Find m < C. Show all work.

Answer 1

`\\ \tt\Rrightarrow tanC=(AB)/(BC)`

`\\ \tt\Rrightarrow tanC=(16)/(30)`

`\\ \tt\Rrightarrow tanC=0.53`

`\\ \tt\Rrightarrow C=tan^(-1)(0.53)`

`\\ \tt\Rrightarrow C=27.92°`

Answer 2

m∠C = 28.1°

Step-by-step explanation:

angle m∠C has opposite angle of 16 and hypotenuse of 34

using sine rule:

`\boxed{ sin(C) = (opposite)/(hypotenuse)}`

`sin(C)=(16)/(34)`

`C = sin^(-1)((16)/(34) )`

C = 28.07248°

C = 28.1°