Step 1 :Rearrange the equation to isolate x: \(x = 15.6 \cdot \sin 25^\circ\)
Step 2 :Calculate the sine of 25 degrees: \(\sin 25^\circ = 0.42261826174069944\)
Step 3 :Substitute the sine value into the equation: \(x = 15.6 \cdot 0.42261826174069944\)
Step 4 :Calculate the value of x: \(x = 6.592844883154911\)
Step 5 :Round the value of x to one decimal place: \(\boxed{6.6}\)