When standing upright, gary knows his eyes are 6 feet above ground level. to determine the depth of a well, he stands in the position shown. a 6 foot tall man stands 2 feet away from a 6 foot wide well of unknown depth. the man's line of sight intersects the far bottom corner of the well. using the given measures, how deep is the well?

Question

Mathematics

Roderick Baird

29 April, 09:51

When standing upright, gary knows his eyes are 6 feet above ground level. to determine the depth of a well, he stands in the position shown. a 6 foot tall man stands 2 feet away from a 6 foot wide well of unknown depth. the man's line of sight intersects the far bottom corner of the well. using the given measures, how deep is the well?

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Answers (1)

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Alexa Boyer · Answer 1

Observer E stands two feet away from the edge of the well D and looks down to the bottom of the well on the opposite side B.

By similar triangles, we have

Depth of the well = (6' radius/2 ft away) * 6' high = 18 feet