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#1
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![]() "Zachary Taylor" wrote in message ... I have a sloper that is 73 feet long. The high end is 34 feet high, and the low end is 8 feet high. What angle is the antenna? It's a shame I can't figure out something I should have learned in the 6th grade; but I don't know how to set the problem up. Thanks, Zack About 21 degrees. For calculation purposes, mentally move the antenna down 8 feet. So you now have a triangle with altitude of 26 feet and a hypotenuse of 73 feet. The sine of the angle you want is 26/73 or .3562. The cosine of ..3562 is 20.86 degrees. If you don't frequently use what you have learned, it evaporates. I know exactly how you feel. 73, John - KD5YI |
#2
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![]() John Smith wrote: About 21 degrees. For calculation purposes, mentally move the antenna down 8 feet. So you now have a triangle with altitude of 26 feet and a hypotenuse of 73 feet. The sine of the angle you want is 26/73 or .3562. The cosine of .3562 is 20.86 degrees. If you don't frequently use what you have learned, it evaporates. . . True enough -- "cosine" above should be "arcsin". The arcsin of a number is the inverse sine, or the angle whose sine is the number. Cosine is a different trigonometric function, defined by a ratio of different sides than the sine. Roy Lewallen, W7EL |
#3
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"Roy Lewallen" wrote in message
... John Smith wrote: About 21 degrees. For calculation purposes, mentally move the antenna down 8 feet. So you now have a triangle with altitude of 26 feet and a hypotenuse of 73 feet. The sine of the angle you want is 26/73 or .3562. The cosine of .3562 is 20.86 degrees. If you don't frequently use what you have learned, it evaporates. . . True enough -- "cosine" above should be "arcsin". The arcsin of a number is the inverse sine, or the angle whose sine is the number. Cosine is a different trigonometric function, defined by a ratio of different sides than the sine. Roy Lewallen, W7EL I _knew_ I would screw it up! Thanks, Roy. John |
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