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In that case, a and b are π / 2 − φ 1,2 (that is, the, co-latitudes), C is the longitude separation λ 2 − λ 1, and c is the desired d / R . Noting that sin( π / 2 − φ) = cos(φ), the haversine formula immediately follows. To derive the law of haversines, one starts with the spherical law of cosines:
It lasted for 1 hour and 30 minutes and was allocated 18% of the total subject mark. The reading part had multiple-choice questions based on a passage taken from a publication. A third of the total mark of the entire paper is allocated to this section. Types of questions were multiple-choice questions on cloze passage and continuity.
Calculating the distance between geographical coordinates is based on some level of abstraction; it does not provide an exact distance, which is unattainable if one attempted to account for every irregularity in the surface of the Earth. [1] Common abstractions for the surface between two geographic points are: Flat surface; Spherical surface;
The gravity g′ at depth d is given by g′ = g(1 − d/R) where g is acceleration due to gravity on the surface of the Earth, d is depth and R is the radius of the Earth. If the density decreased linearly with increasing radius from a density ρ 0 at the center to ρ 1 at the surface, then ρ(r) = ρ 0 − (ρ 0 − ρ 1) r / R, and the ...
Vincenty's formulae are two related iterative methods used in geodesy to calculate the distance between two points on the surface of a spheroid, developed by Thaddeus Vincenty (1975a). They are based on the assumption that the figure of the Earth is an oblate spheroid, and hence are more accurate than methods that assume a spherical Earth, such ...
[1] The quantity represents the average length of channel per unit area of catchment and has units [] [], which is often reduced to [].. Drainage density depends upon both climate and physical characteristics of the drainage basin.
AQA Education, [1] trading as AQA (formerly the Assessment and Qualifications Alliance), is an awarding body in England, Wales and Northern Ireland. It compiles specifications and holds examinations in various subjects at GCSE, AS and A Level and offers vocational qualifications. AQA is a registered charity and independent of the government.
The Hong Kong Examinations and Assessment Authority (HKEAA), previously known as the Hong Kong Examinations Authority (HKEA) before 2002, is a statutory body of the Hong Kong Government responsible for the administration of public examinations and related assessments.