This page explains how to find the Shoqa Tatone shrine.
How to Find the Shrine
One way to reach this shrine is to go to the top of Lake Tower and float south to the beach, then go south on the beach and then west until you see a dead Guardian. Another way to reach this shrine is to go west on the road from Ka'o Makagh Shrine. Continue going west on the road through a mountain pass. Then go west from here to go down to a beach. Go south on the beach and continue going along the beach until you see a dead Guardian.
Just beyond the Guardian, talk to Loone to start the shrine quest.
Loone wants to see flying Guardians, small Guardians, and walking Guardians. You need to take a picture of a Guardian Skywatcher, Guardian Scout, and Guardian Stalker. When you take a picture of a type of Guardian that will count for this quest, there will be a red exclamation mark in the picture.
All of the "test of strength" shrines contain a Guardian Scout. For example, you can find the Pumaag Nitae Shrine (A Minor Test of Strength) north of Ka'o Makagh Shrine. Or just check the list of shrines and search for "test of strength".
There are many Guardian Stalkers around Hyrule Field, and you might be able to take a picture of one from the top of Central Tower.
Go back and show Loone the pictures that you took. If you show her all three, she will let you take the orb. Pick it up and put it into the shrine pedestal to make the shrine appear.
About the Shrine
This is a Modest Test of Strength shrine. The Guardian Scout wields a Guardian Spear+ and a Guardian Shield+. The chest in the shrine contains a Royal Broadsword.