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1. In the same paleomagnetic study, the following stable directions of remanent

ID: 118047 • Letter: 1

Question

1. In the same paleomagnetic study, the following stable directions of remanent magnetization, corrected for the dip of bedding in the limestone formation, were measured in five samples from the same site Sample SR-04 SR-05 SR-07 SR-10 SR-12 329.7 3366 326.2 321. 322.7 40.6 24.7 46.0 40.9 44.9 ( 1 ) Calculate the direction cosines (Av, £,Av) of the north, east, and vertical components for each sample using the relationships A, = cos/cos D =sin 1 (2) Add up the values for each direction cosine. Let the sums be X, Y, and Z, where Calculate the vector sum of the directions, R, and the declination Dm and inclination Im of the mean direction using the relationships Your mean declination and inclination should be close to the simple average from the table. (3) The samples were gathered at a site in Italy with latitude 43.4°N, longitude 12.6°E Calculate the latitude and longitude for the paleomagnetic pole position for the Italian limestone (need use spherical trigonometry). (15 points)

Explanation / Answer

1.

0.794208

2.

x = -1.409187737

y = -0.47954

z = 1.455761

R = 2.082068

Dm = 0.32774

Im= 0.757567

cos I cos D N -0.97117 -0.98605 0.957622301 0.90782 -0.90063 -0.817606906 -0.43218 0.865005 -0.373836087 -0.99824 0.791492 -0.790101384 0.607646 -0.63403 -0.385265661