Treeherders-firemakesussad

__**Keith "Swifteye" Oswald**__
The height of the tallest Ent in the Fangorn Forest. The High King of Gondor has requested a truce with the Tree-herders of the ancient Fangorn Forest and we were entrusted with finding the leader. Due to tradition among the Ents of old, the oldest living Ent is made the almighty ruler. With this knowledge, we have set of to find the tallest Ent in all of Fangorn Forest, with an inclinometer and an altimeter. We will begin our quest to find the king of the Tree-Herders at next light. May our swords stay sharp and our arrows swift.

Day 48 As of now, we have seen nary a Treeherder. We have come upon many other creatures, including Orcs, Elves, and something that called itself a "Snooki". This creature was the most terrifying of all. All we have left to eat is Elven bread, whose taste resembles that of month old tree bark. Onward we go.

Day 73 We have finally come upon the tallest Ent so far, Leafbeard. We have measured many an Ent, but nary any that were of this noble stature. We pleaded to climb upon him and measure. However, the good sir thought we were Orcs, so he would only allow us to measure angles from safe distance away. After stepping back to a distance that we could see the top of the Ent, we measured with our inclinometer that it was a 25 degree angle to the very top. Moving forward 20 feet, we measured again to find that it was then a 38 degree angle. Knowing that the ground between us and Leafbeard was not level, we measured the distance above sea level with and altimeter at our measurement position and at Leafbead's roots and found the difference in altitude to be 24 feet. Were measurements were as follows:





sin25=h/20 therefore, h=8.45 tan25=8.45/z z=18.13 tan13=8.45/y

y=36.60 Full leg (z+y) = 54.73 sin25=x/54.73 x=45.67 45.67+24=69.67 ft.

We used the oblique triangle method to find the leg length of the largest hypotenuse of the triangle. We were then able to use this hypotenuse to find the height to the top of the Ent from our point of view. We then added the difference between our two altitudes (24 feet) to come to the conclusion that this Ent "Leafbeard" is the tallest Ent in the forest. We have found the tallest Ent.