How long is AB please explain how you answered

AB =

Step-by-step explanation:

30-60-90 theorem, usually x is used to explain but I will use y since x is in your problem, just substitute any variable for y

in a 30 -60 -90 triangle

the length opposite the 30 degrees is y

the length opposite the 60 degrees is y

the length opposite the 90 degrees is 2y

since y = 6

y = 6/

rationalizing the denominator

=

if y = , 2y =

i believe the answer is d.

hope it you! : d

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47