Step 1 :The candle burns at a constant rate of 1.6 inches per hour. After 1.5 hours, the candle has burned \(1.5 \times 1.6 = 2.4\) inches.
Step 2 :The length of the candle after 1.5 hours is 13.6 inches.
Step 3 :Therefore, the length of the candle before it was lit is \(13.6\) inches + \(2.4\) inches = \(16\) inches.
Step 4 :Final Answer: The length of the candle before it was lit is \(\boxed{16}\) inches.