SOLUTION: Ivan who is 1.96m tall, wishes to find the height of a tree. He walks 18.43m from the base of the tree along the shadow of the tree until his head is in a position where the tip of

Question 251927: Ivan who is 1.96m tall, wishes to find the height of a tree. He walks 18.43m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow overlaps the end of the tree tops shadow. He is now 7.44m from the end of the shadows. How tall is the tree, round to the nearest hundredth.
Found 2 solutions by solver91311, richwmiller:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Similar right triangles. Big triangle has a leg that is the total length of the shadow (the distance he walked plus the length of his shadow) and another leg that is the tree itself. Small triangle is Ivan's shadow and Ivan. Corresponding sides of similar triangles are in proportion, so:

Solve for to the nearest one-hundredth meter.

John

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Ivan=1.96m
Ivan's shadow=7.44
tree's shadow=18.43 +7.44 =25.87
x/25.87=1.96/7.44
x=6.82 m

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