SOLUTION: To determine the height of a tree, a student places a 2m rod 24m from the tree. She finds that she can align the top of the rod with the top of the tree when she stands 1.9m from

Question 143600This question is from textbook Principles of Mathematics
: To determine the height of a tree, a student places a 2m rod 24m from the tree. She finds that she can align the top of the rod with the top of the tree when she stands 1.9m from the rod. The student's eyes are 1.6m above the ground. What is the height of the tree. This question is from textbook Principles of Mathematics

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
For every 1.9 m of distance the height decreases 2-1.6=0.4 m.
4*.4=1.6 the height of the girl's eyes.
So, 4*1.9=7.6m from in back of the girl the imaginary line touches the ground.
We have a right triangle. The base=24+1.9+7.6=33.5 m
x/33.5=1.6/7.6 proportion.
x=33.5*1.6/7.6
=134/19= 7 1/19 m height of tree
.
Ed
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