Answer:
Option C. x = 55° and a = 11.47 is the correct option.
Step-by-step explanation:
As we know sum of all angles of a triangle = 180°
Therefore in the triangle given
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125° °°
x = 55°
Now we we find the sine of 35°
sin35° = [tex]\frac{\text{Height}}{\text{Hupotenuse}}[/tex]
sin35°=[tex]\frac{a}{20}[/tex]
0.5736 = [tex]\frac{a}{20}[/tex]
a = 20×0.5736
a = 11.47 units
Therefore, option C. x = 55° and a = 11.47 is the correct option.
