Answer:
B=47.00°
a=18.70
c=27.30
Step-by-step explanation:
Calculation for B
The sum of the interior angles of a triangle is 180°
180°=43°+90°+B°
180=133+B
180-133=B
B=47°
To the nearest tenth=47.00°
Calculation for a
Using SOHCAHTOA
[tex] \tan = \frac{opposite}{adjcent} \\ \tan {43}^{0} = \frac{a}{20} \\ \tan(43) = 0.9235 \\ 0.9235 = \frac{a}{20} \\ 0.9235 \times 20 = a \\ a = 18.65[/tex]
To the nearest tenth=18.70
Calculation for c
Using Pythagoras theorem
c²=18.65²+20²
c²=347.82+400
c²=747.8
√c²=√747.8
c=27.3459
To the nearest tenth=27.30
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