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Thumper's Mathematical Adventure
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Hi my name is Thumper. I love to jump. If that tree is 8 feet tall and I look up 67 degrees at it, I can use 8/ (tan 67) to figure out that that tree is about 3.4 feet away.
If that mountain is 3.4 miles tall and I am 2 miles away from it, I can use tan-1 (3.4/2) to find that the angle of elevation is 59.5 degrees.
I told you I love to jump, but did I also tell you that I am super strong?
I'm Snowball, did you know that the angle of depression is 55 degrees, and it is 10,320 feet down the mountain
I'm almost at the top! But wait! who are you?
I didn't know that, but I do know that if that is true, I can use 10,320(sin 55) to get that the height of the mountain is 8453 feet tall.
I use (sin-1)5/11 to get that the angle of elevation is about 27 degrees.
Yeah, did you know that if the screen is 5 yards high, and it is 11 yards from my feet to the screen, I can find the angle of elevation.
I just love the movies, don't you?
Thumper hung out with snowball all week, and continued to use math problems.
If I'm 4 feet away from the vending machine, and from my feet to the top cherry coke is 7 feet, I can use (cos-1)4/7 to get that the angle of elevation is 55.2 degrees.
Me to the house is four meters, and I'm looking up at the roof at a 42 degree angle. I can use 4/(cos 42) to get that, from my feet to the roof is 5.4 meters
If Snowball was being honest, she was getting a little annoyed of it.
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