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Altitude Example

Altitude or height is defined based on the context in which it is used (as a height above sea level, or as height above the ground, or as height above the ground or sea level). As a general definition, altitude is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. The reference datum also often varies according to the context. Although the term altitude is commonly used to mean the height above sea level of a location, in geography the term "elevation" is often preferred for this usage.

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Video Transcript

Okay, I hear the short video about some applications of altitudes recalled in an altitude is essentially the height of your triangle and depending on the type of the triangle, whether it's right, acute or obtuse, your altitudes may exist inside on or outside of the triangle. But in terms of how we would use our examples off application until we get to coordinate proofs, really there is that too much you could do except maybe say OK, here I have Triangle ABC. I have Altitude B D. And let's say that this angle right here has a value of three X plus 11 degrees. What is X? Well, clearly, since it's an altitude and we meet at a 90 degree angle, three X plus 11 has to equal 90. So if you subtract 9 11 from 90 okay, you get three. X equals 79 and then X equals 79 3rd. There's not much more we can do it. That I could have also may be given you an expression for this angle. Here, you're done the same thing. Or you could set whatever expression to the left side because they're both equal. They're both 90 and you could solve for X that way. But in terms of application is not too much in this point, um, in terms of like your classical geometrical problems. So when we get to coordinate geometry might cease, um or, uh, some more complex problems involving finding equations of lines and points of intersection algebraic lee using systems of equations. But at this point, this is kind of your typical application question that you would see any given text. Thanks.