If we use the single digit version = 3, what happens to our height calculation? Answer: None.

Notice that the basic trigg function (sine, cosine, tangent) is the ratio of the sides of a right triangle. If you have a triangle with an angle of 34 degrees, this will be the ratio of the opposite sides of the adjacent arm. every time 0.6745. So if you change the value nothing will happen. It is still a right triangle and still has the same ratio of arms.

But how do we find these values ​​for different angles of sine, cosine and tangent? The oldest way is to look for them only in a trigger table. These are printed lists of angles and their associated sine, cosine and tangent values. Your pocket calculator does the same thing – usually that combination of a look-up table and some sort of approximate value gives you that tangent value (34 degrees). But it does not depend on value.

How many numbers does NASA use?

Let’s see if numbers are important when you calculate something as big as the distance to space. For most calculations, NASA uses 15 numbers: 3.141592653589793. Is that enough? Okay, here’s the complete answer from NASA’s Jet Propulsion Laboratory, but I’ll give you a short answer.

On NASA’s northern hemisphere, they illustrated the pie with examples using the Voyager 1 spacecraft, 12.5 billion miles from Earth. (Actually, that answer was created in 2015, and Voyager is now 14.5 billion miles away.) But we can assume Voyager’s distance from the Sun or it’s very close to the same thing.

Therefore, just as Voyager is in a circular orbit around the Sun, we can imagine this great distance as the radius of a large circle centered on the Sun. Let us calculate the circumference of this circle using 2πR. (I would use R = 14.5 billion miles.) Using the 15 digits of the pie gives a circumference of 91 billion miles, which is very long. If used And more The digits of the pie – for example, 21 digits – are actually longer.

But the important part is this: even with 6 more you can only get a circumference of 5.95 inches long. Can you imagine measuring 91 billion miles and standing just under half a foot away? That’s very accurate. So no more than fifteen digits can be counted. Returns really fall short of that.

But what about using No. 1? If you use the value of 3, it would create a smaller circumference of 9.1 billion miles. Yes, B.T.

So, be clear, in this case, 1 number is not enough, 15 digits is enough for you to imagine. That should be sufficient enough for NASA.

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