Question

Option 2:

Find m < C. Show all work.

Answer 1

Answer:

m∠C = 28.1°

Explanation:

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

using sine rule:

$\boxed{ sin(C) = \frac{opposite}{hypotenuse}}$

$sin(C)=\frac{16}{34}$

$C = sin^{-1}(\frac{16}{34} )$

C = 28.07248°

C = 28.1°

Answer 2

$\\ \tt\Rrightarrow tanC=\dfrac{AB}{BC}$

$\\ \tt\Rrightarrow tanC=\dfrac{16}{30}$

$\\ \tt\Rrightarrow tanC=0.53$

$\\ \tt\Rrightarrow C=tan^{-1}(0.53)$

$\\ \tt\Rrightarrow C=27.92°$