#### Incongruent

##### Well-Known Member

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- Oct 25, 2016

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Despite what the title implies, this isn't going to be a recurring thing, unless someone else has their own math problems share. Assumed figures are made up.

You are digging a tunnel through a mountain. The path is 310 km in length and in the form of an equilateral equiangular quadrilateral prism having only sides perpendicular or parallel to the downward vector of earth's gravity with a bisected sphere cross section prism on top.

Assuming that the light outside is 2000 lux, the intensity of the light decreases by 21.7% every 9 meters, and your eye can only detect light above 0.0259 lux, how far in must you be, in meters, before you can see light at the end of the tunnel? (Ignore light that enters from the entrance of the tunnel.)

Round your answer to the nearest thousandth.

__________________________________________

You are digging a tunnel through a mountain. The path is 310 km in length and in the form of an equilateral equiangular quadrilateral prism having only sides perpendicular or parallel to the downward vector of earth's gravity with a bisected sphere cross section prism on top.

Assuming that the light outside is 2000 lux, the intensity of the light decreases by 21.7% every 9 meters, and your eye can only detect light above 0.0259 lux, how far in must you be, in meters, before you can see light at the end of the tunnel? (Ignore light that enters from the entrance of the tunnel.)

Round your answer to the nearest thousandth.

__________________________________________

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