How did innovations in manufacturing lead to improvements in transportation?

One of the major ways in which innovations in manufacturing led to improvements in transportation is that it allowed for the construction of the transcontinental railroad, which greatly increased the quality of life for most Americans. 

Remember soh-cah-toasoh: cah: toa: now, looking at the picture we can see that we have an angle, the hypotenuse and want to find the value of the adjacent side to the angle. so we use cah to find the adjacent angle. plug in what we have: we need to solve for x now so we get it by itself on one side: plug this into your calculator and you'll find that: