Find the value of h in the parallelogram. round your answer to the nearest tenth

h=7.5 in

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABC

sin(CAB)=15/18 ----> opposite side divided by the hypotenuse

In the right triangle CDE

sin(DCE)=h/9 ----> opposite side divided by the hypotenuse

In this problem

∠CAB=∠DCE ------> by corresponding angles

therefore

sin(CAB)=sin(DCE)

15/18=h/9

solve for h

h=15*9/18

h=7.5 in