100 POINTS AND BRAINLIST

Answer:
A = 44°
a = 28.0
c = 40.3
explanation:
A = 180° - 90° - 46°
A = 44°
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\sf tan(46)= \dfrac{29}{a}[/tex]
[tex]\sf a= \dfrac{29}{tan(46)}[/tex]
[tex]\sf a= 28.0[/tex]
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\sf sin(46)= \dfrac{29}{hypotensue}[/tex]
[tex]\sf hypotensue= \dfrac{29}{sin(46)}[/tex]
[tex]\sf hypotensue= 40.3[/tex]
[tex]\\ \rm\hookrightarrow sin46=\dfrac{29}{c}[/tex]
[tex]\\ \rm\hookrightarrow 0.72=29/c[/tex]
[tex]\\ \rm\hookrightarrow c=29/7.2[/tex]
[tex]\\ \rm\hookrightarrow c\approx 4[/tex]
And
[tex]\\ \rm\hookrightarrow cos46=\dfrac{a}{c}=\dfrac{a}{4}[/tex]
[tex]\\ \rm\hookrightarrow a=4(0.7)=2.8[/tex]