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A Water Line Runs East-West

question 48

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A water line runs east-west. A town wants to connect two new housing developments to the line by running lines from a single point on the existing line to the two developments. The first development is 5 miles south of the existing line; the other development is 7 miles south of the existing line and 3 miles east of the first development. How many miles east from the point due north of the first development should the connection be made to minimize the total length of new line?


Definitions:

Male Child

A young human being of the male sex.

Mother

A female parent of biological, adoptive, or foster children, recognized for her role in child-rearing and emotional support.

Collective Unconscious

A part of the unconscious mind that is shared among beings of the same species, containing innate, universal predispositions.

Personal Unconscious

A term in Jungian psychology referring to a component of the mind containing forgotten or suppressed experiences unique to an individual.

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