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.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.5: Solve Applications Of Quadratic Equations

Problem 9.76TI: The distance between opposite corners of a rectangular field is four more than the width of the...

See similar textbooks

Similar questions

Find the base and height of a triangle whose base is four inches more than six times height and hasan area of 456 square inches.
Find the dimensions of a triangle whose width is four more than six times its height and has an area of 208 square inches.
The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the window’s height?
One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.
The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width, Find the distance between the opposite corners. Round to the nearest tenth.