This page of the Immortals Fenyx Rising guide contains a map showing the location of all ambrosia trees located in the King's Peak region.
You can find Ambrosia in 14 places in this region. The resource will be quite easy to obtain in most cases; you will often find the Ambrosia high in the mountains, or right in the open.
1 - Eagle's wing
Ambrosia is located on top of a sculpture depicting an eagle. When you are there, you can also scout the area to unlock the region's map.
2 - Mountain near the gate
There is a mountain in the southern part of the region – find the nearby gate and go through it. Climb up and collect the ambrosia.
3 - Mountaintop
This ambrosia is located at the top of the mountain. However, you may have problems with climbing it because of the low temperatures – your character will quickly lose stamina. You have to solve the puzzle by placing the stones on the platforms and then lighting the torches to keep yourself warm.
4 - Handcuffed sculpture with eagle
By reaching this place, you will notice a sculpture whose hands are handcuffed to the top. An eagle is on one of its shoulders. Get on the eagle – the ambrosia is on its head.
5 - Top of the mountain near the abyss
Go to the indicated place – you have to reach one of the highest mountains with the chasm. To get there, you need to light a torch. Climb to the very top to pick up the ambrosia.
6 - Collapsed bridge
Go to the indicated place – you will see a collapsed bridge. The ambrosia is at the top of the bridge.
7 - Mountain with gusts of air
There is a mountain in the northern part of the region – it can be reached by following gusts of air. But before you use them, light the torches on the next mountain, so that your stamina does not fall quickly.
8 - Hill near the Cauldron of Circe
Near the Cauldron of Circe, there is a gust of air. Jump down and land on the ground to pick up ambrosia.
9 - Mountaintop
There is a high mountain near the Cauldron of Circe – one of the ambrosia is located on it. You'll need a lot of stamina potions to get there.
10 - Column on the mountaintop
Try to fly to point 10 from point 9. You will have to fly about 300 meters. However, this is the easiest solution. The ambrosia is located on a remote mountain, where you will encounter several trees and a column.
11 - The top of the great gate
While you are doing the main quest in which you have to get to the top of the mountain, you will pass through the great gate. This ambrosia is on top of it. Climb there – if you have little stamina, use potions or mushrooms.
12 - Thumb of the big hand
Go to the designated place on the map. There you will see a sculpture that has a hand outstretched up. The ambrosia is on one of the fingers.
13 - The giant's head
At the very end of one of the main quests, you will have to climb the sculpture depicting a giant. The ambrosia is on its head.
14 - Golden eagle
The quickest way to get the ambrosia is to fight Ligyron. Climb the highest point of the region – the golden eagle.