SOLUTION: Jacob places a 2m rod 24m from a tree. He finds that he can align the top of the rod with the top of the tree when he stands 1.9m from the rod. Jacob's eyes are 1.6m above the grou

Algebra ->  Triangles -> SOLUTION: Jacob places a 2m rod 24m from a tree. He finds that he can align the top of the rod with the top of the tree when he stands 1.9m from the rod. Jacob's eyes are 1.6m above the grou      Log On


   

Question 246892: Jacob places a 2m rod 24m from a tree. He finds that he can align the top of the rod with the top of the tree when he stands 1.9m from the rod. Jacob's eyes are 1.6m above the ground. What is the height of the tree?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jacob places a 2m rod 24m from a tree. He finds that he can align the top of the rod with the top of the tree when he stands 1.9m from the rod. Jacob's eyes are 1.6m above the ground. What is the height of the tree?
----------------
Draw the picture.
Your picture may be different than mine
so your proportion may look different.
Proportion:
(t-1.6)/(24+1.9) = (2-1.6)/1.9
---
Cross-multiply
1.9t - 3.04 = 0.4*25.9
1.9t = 13.4
tree = 7.05 meters (height of the tree)
=============================================
Cheers,
Stan H.