he equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.Triangle A B C is shown. Angle A C B is a right angle. The length of side A C is b and the length of hypotenuse A B is 20 centimeters.What is the length of ? Round to the nearest tenth.

Answer:The value of b is 12.9 cmThe value of a is 15.3 cmStep-by-step explanation:see the attached figure to better understand the problemFind the value of bwe know thatin the right triangle ABCThe function sine of angle of 40 degrees is equal to divide the opposite side to the angle of 40 degrees (AC) by the hypotenuse (AB)so[tex]sin(40\°)=AC/AB[/tex]Solve for AC[tex]AC=(AB)sin(40\°)[/tex]substitute the given value[tex]AC=(20)sin(40\°)[/tex][tex]AC=12.9\ cm[/tex]thereforeThe value of b is 12.9 cmFind the value of awe know thatin the right triangle ABCThe function cosine of angle of 40 degrees is equal to divide the adjacent side to the angle of 40 degrees (BC) by the hypotenuse (AB)so[tex]cos(40\°)=BC/AB[/tex]Solve for BC[tex]BC=(AB)cos(40\°)[/tex]substitute the given value[tex]BC=(20)cos(40\°)[/tex][tex]BC=15.3\ cm[/tex]thereforeThe value of a is 15.3 cm