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How high is that antenna or tower? A $10 device to see.

Posted: Fri Mar 01, 2024 10:16 pm
by KX4QC
How high is your tower, or the tree that supports your antenna?
(Don't try to read this post without signing in; it will mean nothing without the pictures. Sign-in is quick and easy.)

You could look at the manual, if there is one. Or, from a known distance, measure the angle from horizontal to the top. A little very simple math completes the trick:
To measure the heights and distances of different objects, we use trigonometric ratios.
sneha-heights-and-distances-07-1609418163.png
Use the Tangent rule to calculate the height of the tree (above eye level).
tan(angle) = opposite/adjacent
Where the opposite is the height of the tree and adjacent is the distance between you and the tree.

This is rearranged to:
opposite = tan(angle) x adjacent

or more simply
height=tan(angle)×distance

Distance can be calculated as:
sneha-heights-and-distances-08-1609418178.png
B (distance)=A (height)tan (e)

Therefore, to calculate B
(distance) we will need the value of A (height) and angle e.
So we need to measure angle e. How to do?

You could do it with trying to sight along a protractor, like you used in school for measuring angles, or like the sailor, use a sextant.
Sextants are usually expensive instruments, accurate for navigation, but a simple wood one is good enough for antennas and towers.
Screenshot from 2024-03-01 16-27-16.png
This one is $10.75 from Amazon, ASIN B0CN6JDD26 . At this price, know that some simple assembly is required:

Screenshot from 2024-03-01 16-28-09.png
All the same, good enough to measure the height angle. Hint with this simple wood device: first sight a zero angle and see what the sextant scale reads. Use this "zero" reading with the angle sight to give a true angle. -Or spend over a Grand on a real sextant!

So now I know how high is my antenna, the house, and some potentially useful high pine trees. Very cool!

Thank you https://www.cuemath.com for the nice pictures.