In fact, if we really get down to it, many of the technologies we have are simple imitations modeled after careful observation of nature, and biomimetics has numerous examples.
For instance, the first airplane flew because the flight of birds inspired the idea of flying in humans.
From the records of experiments at the time, one could infer that the Wright Brothers probably never even considered drawing inspiration from Bernoulli's principle, which later guided the design of aircraft.
What they relied on was probably the courage to wonder why, if birds could fly, couldn't they?
Similarly, the earliest ships were simply crude rafts, and the people of the time were hardly able to calculate the specific displacement and load capacity of a ship accurately using Archimedes' principle; they relied purely on experience.
Solar energy technology, on the other hand, was inspired by the process through which plants convert sunlight into energy via photosynthesis.