SOLUTION: 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. Which expression may be used ti determi

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Question 935749: 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. Which expression may be used ti determine the volume of the well?
(He is standing 2 feet away from the well and he is looking down at the well creating a right triangle and the well is 6 feet wide)
A. π(6)^2(18)
B. π(3)^2(9)
C. π(3)^2(12)
D. π(3)^2(18)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Some information is missing, but an assumption is possible from your description. If Gary is looking and can see the far part of the bottom of the well (and assumed empty), then there are formed TWO right triangles, SIMILAR. The large right triangle has base 6%2B2=8 feet and the height of the triangle is 6%2By, using y as the depth of the empty well from top to bottom.

The smaller triangle is formed from Gary (6 feet) and the distance from his feet to the nearest part of the top of the well (2 feet).

The sides of the similar triangles are in proportion.
%286%2By%29%2F8=6%2F2, and solving for y is easy and simple.

The choices you are asked to use are inconistant with the analysis just given, so information was missing from your problem description, which would expected to have been shown in a picture or diagram/figure.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

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. Which expression may be used ti determine the volume of the well?
(He is standing 2 feet away from the well and he is looking down at the well creating a right triangle and the well is 6 feet wide)
A. π(6)^2(18)
B. π(3)^2(9)
C. π(3)^2(12)
D. π(3)^2(18)
Volume: π(3)2(18) (CHOICE D)

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