What two quantities are required to compute grid azimuth

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Reference no: EM132299065

Geodetic Science Assignment Problems -

Problem 1 - Problems 1.1 through 1.3 use the following control point data given in Table 1.

Table 1: Small-Area Urban Control Monument Data for Problems 1.1 - 1.3*

Monument	Elevation	Northing	Easting	Latitude	Longitude
A	179.832	4,850,296.103	317,104.062	43^o47'33'' N	079^o20'50'' W
B	181.356	4,850,218.330	316,823.936	43^o47'30'' N	079^o21'02'' W
C	188.976	4,850,182.348	316,600.899	43^o47'29'' N	079^o21'12'' W
D	187.452	4,850,184.986	316,806.910	43^o47'29'' N	079^o21'03'' W

Average longitude = 079^o21'02''W (Monument B) Easting at CM = 304,800.000 m
Average latitude = 43^o47'30'' N (Monument B) Northing at equator = 0.000 m
Central Meridian (CM) at longitude 079^o30'W Scale factor at CM = 0.9999
Radius = 20,906,000 ft = 6372161.544 m * Data are consistent with the 3° transverse Mercator projection, related to NAD83.

1.1 - Draw a representative sketch of the four control points if needed and then determine the grid distances and grid bearings (or grid azimuths) of sides AB, BC, CD, and DA.

1.2 - Determine the ground distances for the four traverse sides by applying the scale and elevation factors (i.e. grid factors). Use average latitude and longitude.

1.3 - Determine the convergence correction for each traverse side and determine the geodetic bearings for each traverse side. Use average latitude and longitude.

Problem 2 - Compute geocentric coordinates for Point Zebra in meters on the GRS 80 ellipsoid. The known geographic (geodetic) coordinates for Point Zebra are:

φ = 31^o27'37.34298''N

λ = 85^o59'05.42009''W

h = 123.651 meters.

Problem 3 - 3.1- Provide the algorithm including the formula(s) for computing the geodetic coordinates for point Able on the GRS 80 ellipsoid. Namely, list the steps how to compute this problem. There is no need to detail your solving procedures. The know geocentric coordinates of Point Able are:

X = -115,118.547 meters

Y = -5,201,931.296 meters

Z = 3,677,897.961 meters

3.2 - Explain why iteration is required for computing the geodetic coordinates for point Able.

Problem 4 - A coordinate system is rotated in the following amounts and directions (when looking at the origin from the positive end of the axis specified). Compute and simplify the rotation matrix, R

1^st rotation: 35^o clockwise about the second axis;

2^nd rotation: 125^o counterclockwise about the lust axis;

3^rd rotation: 45^o counterclockwise about the third axis;

4^th rotation about the y-axis through an angle of 15^o.

Problem 5 - Starting with an astronomic azimuth between two points, what two quantities are required to compute its grid azimuth?

Problem 6 - The combined factor used with state plane coordinates is the product of what two factors?

Problem 7 - List two approaches for functional models in adjustment computations.

Reference no: EM132299065

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