He length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm.

Which is the approximate measure of angle JGH?

18.4°

19.5°

70.5°

71.6°

Using the law of sines, SinA/a = SinB/b = SinC/c

guessing the triangle has a 90 degree angle J for the hyp. of 6 and another leg of 2, we set up the problem like this ...

Sin90/6 = SinX/2 (multiply by 2)

2 [ Sin90/6 ] = Sinx

.333333333 = Sinx (to change to degrees, use the Sin^-1 (.3333333333)

to get the approximate degrees of 19.47 degrees or 19.5 degrees.