Using the pythagorean theorem, find the length of c if a = 14 * the square root of 3 and b = 34

If c is the hypotenuse, we have

If instead b is the hypothenuse, you have

(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