One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus? (Hint: Diagonals of a rhombus bisect the angles.) 7 in. 8 in. 11 in.

The value of the length of the rhombus will be found as follows:

cos θ=adjacent / hypotenuse

θ=108/2=54°

adjacent = 9/2=4.5 inch

hypotenuse=length of the rhombus

thus

cos 54=9/x

x=4.5/cos 54

x=7.6558~8 inches

the answer is 8 inches