A surveyor needs to determine the height of a tree. She places a mirror on the ground and paces backwards until she sees the top of the tree reflected in the mirror. She marks where she is standing and then measures the distance from this spot to the mirror which is 11 feet. She then measures the distance from the mirror to the base of the tree which is 95 feet. The surveyor's height is 54 inches from the ground to her eyes. How tall is the tree (in feet) assuming level ground from the surveyor's spot to the mirror and from the mirror to the tree?
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The line formed between the surveyor's eyes and the mirror will have the same angle to the horizontal as the line from the mirror to the top of the tree. So if her eyes are at 56 inches = 4.5 feet over a distance of 11 feet, then the tree will be 95/(11/4.5) feet tall.
nikvist can you help me with this one
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