Question: Where did the Incas build a road to?
About the article "Machu Picchu", section "Roads and transportation".

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From the mid to late 15th century, the Incas established forts in northern and central Chile, from the far north to near where the city of Rancagua stands today.
Under the helm of the Incas, these parts of Chile were in the "Qullasuyu" (Quechua for southern region), the south-eastern province of the Inca Empire.
"Qullasuyu" is also the region of the Qulla, named after a subgroup of the Aymara whose kingdom stretched from what is now northern Chile to central Bolivia before their territory was annexed by the Incas.
The "Qullasuyu" extended from Cusco to central Chile, where its advance southwards was halted after the Battle of the Maule when the Incas met determined resistance by Mapuche warriors, and the final border was fixed as being this area.
The "Qhapak Ñan", or Inca road network, ran from southern Colombia deep into Chile along the Andes, with an intermittent parallel route along the Pacific coast and various branches and side roads linking the two or extending into Argentina and Bolivia.
These side roads which linked the main highways followed an east to west orientation in line with the daily route of the sun, which the Incas worshiped as a god.
The Spanish later incorporated the local branches of the Kapak Ñan into the "Camino Real a la Frontera", the highway linking Santiago and Concepción. 
A high degree of energetic investment was put into the ritual purposes of the road.
In Inca society, the mountains were objects of worship; the Incas held many rituals, including the sacrifice of children, goods, and llamas, at the tops of mountains.
The only way for the Incas to reach the summits of the mountains for worship was by constructing roads.
Many Inca roads went thousands of feet above sea level, such as mount Chañi, which had a road that started at the base and went to the summit, which was at a height of nearly six thousand feet.
In addition to high altitude shrines, there were also many holy shrines or religious sites, called wak’a, that were a part of the Zeq’e system along and near the roads.
These shrines were either natural or modified features of the landscape, as well as buildings, where the Inca would visit for worship. 
The Incan civilization was predominantly an agricultural society.
The Incas took advantage of the soil, overcoming the adversities of the Andean terrain and weather.
The adaptation of agricultural technologies that had been used previously allowed the Incas to organize production of a diverse range of crops from the coast, mountains, and jungle regions, which they were then able to redistribute to villages that did not have access to the other regions.
These technological achievements in agriculture would not have been possible without the workforce that was at the disposal of the Sapa Inca, as well as the road system that allowed them to harvested crops and to distribute them throughout their territory.
These practices were so effective that many experts believe that if they were readopted today, they would solve the nutritional problems of Andean people for many decades. 
It is believed to have been used by the Incas as an administrative and control site on the main road from the coast to the highlands. 
The Incas used an extensive road network in Chile as well as in the rest of the empire.
North of Copiapó Valley the main difficulty for the Inca road system was the lack of water, south of Copiapó Valley the main difficulty was the uneven relief with many mountain ranges and valleys.
To deal with these problems the Incas adopted two strategies and built two north–south roads from Copiapó Valley to Maipo Valley each of these according a strategy.
One road, the Longitudinal Andean Inca Road (), went high in the Andes through the valley heads where the valleys were less deep.
The other one followed coastal plains.
The Longitudinal Andean Inca Road runs from the latitude of Huasco Valley north–south mainly along a series of geological faults (including Valeriano Fault).
From a latitude of 28° S to 38° S it this road runs above 4,000 m.a.s.l.
close to the Argentine–Chilean border.
Around the latitude of Choapa Valley the road descends to around 2,000 m.a.s.l.
The Longitudinal Andean Inca Road is connected to a parallel Inca road in Argentina through several road that crosses the Andean water divide.
This road allowed to access several mining districts and had plenty of water.
On the other hand its climate was of a large diurnal temperature range and it was not accessible in winter due to snowfall.
The coastal road allowed for a more straight north–south movement.
It also enjoyed a less harsh climate than the Longitudinal Andean Inca Road and was accessible the all year round.
This road goes mostly ca.
30 km east of the Pacific Ocean but it also access the sea at some places.
It was the route used by Diego de Almagro in 1536.