Question

GIVEN THE INFORMATION IN THE SKETCH BELOW ON THE FOLLOWING PAGE, CALCULATE THE

FOLLOWING:
1. CALCULATE THE NORTH AZIMUTH FROM THE GIVEN BEARING (S01°08'07"W) BETWEEN CP 101
AND 102.
2. USING THE GIVEN COORDINATES FOR CP 102 AND THE SOUTHWEST CORNER (SWC) OF THE
PROPOSED BUILDING, USE THE
INVERSE ROUTINE TO DETERMINE THE NORTH AZIMUTH AND THE DISTANCE BETWEEN CP
102 AND
THE SWC OF BLDG.
3. Your are set up on control point 102 with your instrument (Transit), your
backsight is
control point 101 and you have set your horizontal angle to 00°00'00". You
are required
to set the Southwest Corner (SWC) of the proposed Building.
Determine the Horizontal Angle Right and the distance needed from control
point 102 to stake/set
the SWC of the building.
(HINT: You already calculated the distance using the inverse routine
above. Use Mickey's
hands example in handout on CANVAS (WEEK 5 MODULE) to determine the Angle
needed between the two calculated
Azimuths).
4. USING THE GIVEN COORDINATES FOR CP 102 AND THE Southeast Corner (SEC) OF THE
PROPOSED BUILDING, USE THE
INVERSE ROUTINE TO DETERMINE THE NORTH AZIMUTH AND THE DISTANCE BETWEEN CP
102 AND
THE SEC OF BLDG.
5. Your are set up on control point 102 with your instrument (Transit), your
backsight is
control point 101 and you have set your horizontal angle to 00°00'00". You
are required
to set the SEC of the proposed Building.
Determine the Horizontal Angle Right and the distance needed from control
point 102 to stake/set
the SEC of the building.
6. USING THE PROVIDED COORDINATES FOR POINT NUMBERS 1, 2, 3, AND 4, USE THE AREA BY
COORDINATES ROUTINE
TO DETERMINE THE SQ. FT. (TO THE NEAREST FOOT) AND ACREAGE (TO THE NEAREST
THOUSANDTH).

Answer 1

It seems like you have a series of surveying-related questions that involve calculations based on given coordinates, azimuths, and distances. Unfortunately, I can't see the sketch or the provided coordinates, and specific surveying calculations require the actual numerical data to provide accurate answers.

To solve these surveying problems, you would typically use various formulas, trigonometric calculations, and surveying techniques. Here is a general outline of how you might approach each of the given tasks:

Calculate North Azimuth:

Use the given bearing (S01°08'07"W) between CP 101 and 102 to determine the north azimuth. You might need to convert the bearing to an azimuth format for further calculations.

Inverse Routine for CP 102 to SWC of Building:

Use the given coordinates for CP 102 and the SWC of the proposed building to perform an inverse calculation to determine the north azimuth and distance between CP 102 and the SWC.

Setting SWC of Building:

With your instrument set up at CP 102, backsight on CP 101, and a known horizontal angle, use Mickey's hands example to determine the Horizontal Angle Right and distance needed to stake/set the SWC of the building.

Inverse Routine for CP 102 to SEC of Building:

Similar to task 2, use the given coordinates for CP 102 and the SEC of the proposed building to perform an inverse calculation to determine the north azimuth and distance between CP 102 and the SEC.

Setting SEC of Building:

Similar to task 3, use the instrument set up at CP 102, backsight on CP 101, and a known horizontal angle to determine the Horizontal Angle Right and distance needed to stake/set the SEC of the building.

Area and Acreage Calculation:

Use the provided coordinates for points 1, 2, 3, and 4 to perform an area by coordinates routine. This typically involves breaking down the area into triangles or other geometric shapes and calculating their individual areas, then summing them up.

For accurate calculations, ensure you have the correct coordinate system, units, and formulas. If you have specific numerical values, you can follow the appropriate surveying calculations using the given formulas. If you encounter any specific issues with the calculations, feel free to provide more details, and I'll do my best to assist you.

Step-by-step explanation:

Answer 2

To find how far you are from the starting point after walking two legs and the compass direction to that final point, we need to decompose the displacements into their north-south and east-west components, add them, and then use the Pythagorean theorem and trigonometry to find the resultant displacement's magnitude and direction.

To solve this problem, we need to use vector addition to find the resultant displacement R which is the vector sum of two displacements A and B. Displacement A is 12.0 m at 20° west of north, and displacement B is 20.0 m at 40° south of west.

First, we decompose the vectors into their north-south and east-west components. For A, the north component is Anorth = 12.0 m × cos(20°) and the west component is Awest = 12.0 m × sin(20°). For B, the south component is Bsouth = 20.0 m × sin(40°) and the west component is Bwest = 20.0 m × cos(40°).

Next, we use these components to find the total displacement in north-south and east-west directions:

Total north-south displacement = Anorth - Bsouth

Total west-east displacement = Awest + Bwest

Then, we calculate the magnitude of the resultant displacement R using the Pythagorean theorem, R = √((Total north-south displacement)2 + (Total west-east displacement)2).

Finally, we find the compass direction of the resultant displacement R using trigonometry, specifically the arctangent function to calculate the angle relative to a cardinal direction.