The area of the triangle above is 21. What is the value of x ?

Step-by-step explanation:

area = ½×base×height

21 = ½(x+1)x

42 = (x+1)x

x² + x - 42 = 0

(x+7)(x-6) = 0

x = -7, 6

-7 is an extraneous solution, so x = 6

(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