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Two posts, one 12 feet high and the other 28 feet high, stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from the ground level to the top of each post. The total length of the wire is given by L = Jx2 + 144+ Vx² – 60x + 1684 where x is the distance between the stake and the shorter post. Find the distance x that minimizes the total length of the wire.

Two posts, one 12 feet high and the other 28 feet high, stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from the ground level to the top of each post. The total length of the wire is given by L = Jx2 + 144+ Vx² – 60x + 1684 where x is the distance between the stake and the shorter post. Find the distance x that minimizes the total length of the wire.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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Two posts, one 12 feet high and the other 28 feet high, stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from the ground level to the top of each post. The total length of the wire is given by L = Vx2 + 144 + Vx2 – 60x + 1684 where x is the distance between the stake and the shorter post. Find the distance x that minimizes the total length of the wire.
Transcribed Image Text:Two posts, one 12 feet high and the other 28 feet high, stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from the ground level to the top of each post. The total length of the wire is given by L = Vx2 + 144 + Vx2 – 60x + 1684 where x is the distance between the stake and the shorter post. Find the distance x that minimizes the total length of the wire.
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