Trigonometry: Another Statics Problem

AI Thread Summary
A surveying crew made a 0.10-degree error while setting an iron pin at a subdivision lot measuring 200 ft by 80 ft. The problem is approached by modeling the situation as a right triangle, with the angle at the top. Using the tangent function, the opposite side is calculated based on the adjacent side of 200 feet. The result indicates that the pin is off by approximately 0.349 feet from the true corner. This calculation confirms the distance error due to the angular misalignment.
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Homework Statement


A subdivision lot is 200 ft long by 80 ft wide. A surveying crew made an error of 0.10 degrees when setting the iron pin in the corner of the lot shown. By what distance is the correct pin off of the true corner?

Problem%2014_zpsjucnp3ue.png


Homework Equations


I think I'm doing this one right also, but it's an even numbered problem so I can't check my answer.

The Attempt at a Solution


I'm treating the left part of the image as a right triangle. I'm saying that theta=0.10 degrees, and theta is located at the top of the triangle. So the opposite is the short piece at the bottom, and that's what I'm trying to find.

tan(theta)=opposite/adjacent

Adjacent is along the side, and it's 200 feet.

opposite=200*tan(0.10)~=0.349 feet.

So, if I've done this right, the distance is off by 0.349 feet.
 

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That's what I get, as well.
 
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