Which events would possibly have been a cause of spanish troops conquering the inca capital of cusco?

The Spanish conquest of the Inca Empire was one of the most important campaigns in the Spanish colonization of the Americas. After years of preliminary exploration and military skirmishes, 180 Spanish soldiers under conquistador Francisco Pizarro, his brothers, and their native allies captured the Sapa Inca Atahualpa in the 1532 Battle of Cajamarca. It was the first step in a long campaign that took decades of fighting but ended in Spanish victory in 1572 and colonization of the region as the Viceroyalty of Peru. The conquest of the Inca Empire (called "Tahuantinsuyu"[1] or "Tawantinsuyu"[2] in Quechua, meaning "Realm of the Four Parts"),[3] led to spin-off campaigns into present-day Chile and Colombia, as well as expeditions towards the Amazon Basin

answer: this problem has only trivial solutions, with all points on the same line. x=5 or x=7/5.

step-by-step explanation:

there are three triangles, and three unknowns: x, y=length of middle segment, and z=cos(angles marked with red arc).

we need

and law of cosines,

the three equations are

see attached image for solution.

1) she is extremely upset