Triangles and TrigonometryIntroduction
By the early 19th century, explorers had discovered most of the world. Trade and transportation was booming between distant countries, and this created a need for accurate maps of the entire planet.
Today we have satellites that can take photos from above – but 200 years ago, creating maps was a difficult and time consuming task. It was done by mathematicians like
Of particular interest was the quest to find the highest mountain on Earth. There were a few different candidates, but from hundreds of kilometers away, it was difficult to tell which one was the highest.
So how do you measure the height of a mountain?
Today we can use satellites to measure the height of mountains to within a few centimeters – but these did not exist when Radhanath was surveying India.
Climbers use altimeters to determine their altitude. These devices use the difference in air pressure at different heights. However this would have required someone to actually climb to the
You could also try using similar triangles, like we did in the previous course. This method requires knowing the
But there are more advanced geometric techniques, which
In this course you will learn about many different features and properties of triangles. These will allow you to measure the height of mountains, but they are also of fundamental importance in many other areas of mathematics, science and engineering.