How To Find Your Height Without Measuring
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My beloved hometown of Los Angeles is known for its warm, sunny, and pretty much perfect weather nearly year-round (depending on your taste, of course). While I won't argue with the accuracy of this picture, there is another—much less pleasant—side to the weather in the particular part of L.A. In which I live: gnarly wind.No, I'm not talking Winnie the Pooh style 'blustery days,' I'm talking about days of wind with gusts of 70 MPH and beyond. My point in teling you this isn't to complain (because I admit I don't have much to complain about), it's to give you a bit of background to help you understand why I'm so interested in estimating the heights of trees.You see, my neighbor's yard features another one of those L.A. Icons—a mildly menacing tall and gangly palm tree. Understandably, at some point I began to wonder exactly how tall it is?
Predict Your Height
And, in particular, is it tall enough to leave a large dent in my roof if those winds should ever prove too mighty for its shallow roots. So, how did I figure out the height of the treewithout having to resort to climbing it? Keep on reading to find out!Real World TrianglesThere are, of course, many ways that I could have measured the height of my nemesis palm tree. The most direct—but also most difficult, dangerous, and dumb—method would have been to climb the tree and stretch a giant tape measure down its trunk. While that sounds like a hoot, I thought that using math while safely planted on the ground was a much better option.
So I dug into my bag of math tricks and pulled out the from the wonderful. Why tangent and not sine or cosine? Well, let's think about the right triangle made by drawing an imaginary line between myself, the base of the palm tree, and its tippy-top.