In a rhombus whose side measures 18 and the smaller angle is 34°, find the length of the larger diagonal, to the nearest tenth.

Check the picture below.

since the smaller angle is 34°, the diagonal will bisect that in two equal halves, as you see in the picture, a 17° and a 17° twin.

bearing in mind that the diagonals in a rhombus cut each other in half, if that side is "a" units long, the longer diagonal is then 2a.

make sure your calculator is in Degree mode.