SOLUTION: Find the missing height: To find the height of the tree, juan marked the tree at eye level, 5.5ft above the ground. He measured 25ft from the base of the tree and then held a 6in r

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Question 779269: Find the missing height: To find the height of the tree, juan marked the tree at eye level, 5.5ft above the ground. He measured 25ft from the base of the tree and then held a 6in ruler vertically in front of his eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, juan found that the distance from his eye to the ruler was 4.5 in. what is the exact height of the tree?
Answer by ankor@dixie-net.com(22740) (Show Source):
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To find the height of the tree, juan marked the tree at eye level, 5.5ft above the ground.
He measured 25ft from the base of the tree and then held a 6in ruler vertically in front of his eye until the ruler just obscured the tree above the mark.
Using a string tied through a hole in one end of the ruler, juan found that the distance from his eye to the ruler was 4.5 in. what is the exact height of the tree?
:
let h = height of the tree above his eye level which is 5.5 ft above the ground
Use the side proportion relationships of similar triangle
=
cross multiply
4.5h = 25 * 6
h =
h = 33.333 ft or 33 ft 4 in
Tree height: 33 ft 4 in + 5 ft 6 in = 38 ft 10 in