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Hill Top Math Mystery Cache

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lyonden_ut: math class is out. thans for visiting.

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Hidden : 2/4/2010
Difficulty:
3 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:


Coronado Heights is a prominent, isolated hill overlooking the Smoky Hill river valley. It is the last of a row of erosional hills extending to the north which are capped by the sandstone of the Dakota Formation. It is 300 feet above the surrounding valley floor, offering sweeping vistas of the surrounding countryside. The eroded face of Coronado Heights reveals a panorama of geological history as well, covering 230 million years of time. At its base are gray and red shales that made up the floor of an ancient salt water sea. At the top is the Dakota Sandstone, a mixture of marine, fresh water and subtropical fossil material.

The Smoky Valley Historical Association (SVHA) parent organization obtained the land for a park in 1919 from two pioneer Swedish farm families. The SVHA built the walking trail and auto road to the top along with a shelter house and flag stand in the early 1920's. The park was deeded to Saline County in 1936 for management after the WPA work and reverted back to the SVHA in 1988. It has been managed by them since that time. In 1988 a special monument for Coronado was designed and built by Lindsborg artist John Whitfield and the Smoky Valley Historical Association and volunteers.

Coronado Heights receives its name from Francisco Vasquez de Coronado, who visited central Kansas in 1541, looking for the Native American community of Quivira, where he was told "trees hung with golden bells and ... pots and pans were beaten gold." Coronado didn't find his gold, and it is unknown if he actually ascended the heights now named after him near Lindsborg, Kansas.

Information gathered from:
www.naturalkansas.org/coronado.htm
http://www.kansastravel.org/coronadoheights.htm

Okay on to the hunt.
You will need to explore the hill top for specific man made objects. With my background in construction, I thought it would be good to bring you along for some “Construction Math. Ready?

In the Castle’s Main room, count the number of:

Windows
Overhead Beams
Columns

Inside the foyer, steps leading to the roof.

On the hill top, count the number of:

Picnic areas
Chimneys

N 38 36.8__ W 97 42. 1__

Now here is the fun part.

For the north, add the total of items counted in the Castle and around the hill top. Add six to this for the north

For the west, subtract two from the total of your count for items inside the Castle.

As you look for the final, PLEASE stay on the trail until the last 40 feet.

EXTRA CREDIT
I am involved with a group of cachers at home in Utah known as the Unknown Hobos. We host 3 events a year. Each event comes with its own coin. I will send a coin from the February 2010 event to the first person who e-mails me though my profile, the correct answer to the following question.

How many TOTAL man-made stairs are on the hill top. (Yes, I know, I counted twice.)

Additional Hints (No hints available.)