Step 1 :Convert the angle of elevation from degrees to radians: \(38^\circ = 0.6632251157578453 \text{ radians}\)
Step 2 :Use the sine function to find the height of the tower: \(\text{height} = 18 \times \sin(0.6632251157578453)\)
Step 3 :Calculate the height: \(\text{height} = 11.081906555861849\)
Step 4 :\(\boxed{\text{The satellite dish tower is approximately 11.08 meters tall}}\)