28May 08
A Perfect Survey
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A target 4 inches wide is placed on the side of a building 1600 feet away from a survey point. What angle is subtended at the point between the left and right edges of the target?
Solution: The target width is 0.333 feet and thus the arc of the small angle is 0.333/1600 = 0,000208. The angle in seconds is then 0.000208/48,481 x 10 to the -10 power = 42.9" or 0.000208 x 206,265 = 42.9"
If you were able to follow this problem and understand the means to the solution, you are well on your way to becoming a surveyor
.
Recently, our family was blessed to have a lesson on surveying from a friend of Mom’s sister (Mr. Wes). This gentleman had a wealth of knowledge that he knew how to apply (a key in learning).
Our day started off with a highly informative class on the fundamentals of surveying. The history of, basic math behind, and fundamental components of surveying were laid out to
provide a foundation for what would be accomplished later on. We discussed how a surveyor must take into account the curvature of the earth when measuring long distances and how he compensates for these. Explanations were given for longitude, latitude, and true North.
One valuable piece of information we learned was the difference between accuracy and precision. An accurate measurement is an "indication of how close it is to the true value of the quantity that has been measured." A precise measurement has to do in part with "the quality (but not necessarily the accuracy) of an instrument and the repeatability of the measurement." And yet, how many of
us have used these words as synonyms?
Next came field training. Everyone headed out to our property in the country where we surveyed an example building site and a soccer field. The tools used included a tilting level, a modern day transit (or theodolite), a sighting
target, and a plumb bob.
Much could be shared on the detailed process. Mr. Wes allowed us to wrestle through several challenging problems that ranged from how to obtain a perfectly square building site to calculating how much dirt must be added or removed to created a level soccer field.
The relationship between surveying and the Christian walk is remarkable. Whether the transit is off 1/4 of 1 degree or a calculation falls short 1 inch, these
seemingly minor errors will render a non-precise survey. "For whosoever shall keep the whole law, and yet offend in one point, he is guilty of all. (James 2:10)." There must be a standard by which all measurements are made. Government authorized survey points throughout the U.S. are acceptable standards. To keep costs low, surveyors often use a nail in a tree for on site calculations. "…Behold, I lay in Zion a chief corner stone, elect, precious: and he that believeth on him shall not be confounded (1Peter 2:6)." While calculating a survey line, the
transit must be kept perfectly level to provide accurate results. How imperative in our Spiritual life that we keep our vertical relationship with God unhindered. "But let him ask in faith, nothing wavering (James 1:6a)." Let me be weighed in an even balance, that God may know mine integrity (Job 31:6). The other discovery made was how our perception could often differ from the precision of the tools. "For my thoughts are not your thoughts, neither are your ways my ways, saith the LORD (Isaiah 55:8)."
The Lord Jesus has surveyed, or preordained, our lives. He has a perfect plan for each of His children and has provided all the grace to complete it. Who hath saved us, and called us with an holy calling, not according to our works, but according to
his own purpose and grace, which was given us in Christ Jesus before the world began (2Timothy 1:9). We must realize our complete inability to follow His ways, yet we are commanded to be perfect (Matt. 5:48). Our hope lies not in achieving perfection on our own, but rather receiving by faith the grace which enables us to follow Christ. Herein lies perfection.
But the God of all grace, who hath called us unto his eternal glory by Christ Jesus, after that ye have suffered a while, make you perfect, stablish, strengthen, settle you (1Peter 5:10).
Well, I’m definitely not well on my way to becoming a surveyor. It all sounds very interesting but also a bit complex! You all are definitely getting some good training. And what a wealth of analogies! Great post, guys!
A real treat indeed! The day showed me how valuable early learning in math really is. Furthermore, we saw how key it is that learning be applied.
My son, if thou wilt receive my words, and hide my commandments with thee;So that thou incline thine ear unto wisdom, and apply thine heart to understanding…Then shalt thou understand the fear of the LORD, and find the knowledge of God. Proverbs 2
Thankyou Mr. Wes for coming and sharing your amazing skill with us. We were deeply blessed.
What a blessing it was to have Mr. Wes come. It truly encouraged me to have an others focus.
God has blessed each and everyone one of us with experiences in areas but are we sharing them with others in order that they may grow and mature?
Don’t learn knowlegde for selfish reasons but learn all you can in order to pass it on to the next generation and those you come in contact with!
What a valuable learning experience! I’m sure you have recorded what you learned so that you can use it in the future. That sure looked like a lot of equipment. All I’ve ever used is a transit and rod in preparation for putting in level foundations for buildings. There are rewards for being true and accurate because God is a God of truth and accuracy!