Pillars of Ashoka are a series of columns in Indian subcontinent. One of the Pillars of Ashoka is located in Vaishali having a single lion capital and another inside the Allahabad Fort, known as Allahabad pillar or Ashoka Stambha, shown as BC in the figure below. The point A is taken on the ground such that `Delta`ABC forms a right-angled triangle. If sin(A + B) = 1 and `sin(A - B) = 1/2`, `0^@ le A - B le 90^@`, `A gt B`, the values of A and B are:

Options

A. A = `30^@`, B = `60^@`
B. A = `45^@`, B = `45^@`
C. A = `60^@`, B = `30^@`
D. A=`45^@`, B = `30^@`