MAXIMA/MINIMA 3. A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on thesame horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placedon the horizontal plane that will hold the rope from the top of the first post to the peg then to thetop of the second post. How far from the shorter pole must the peg be installed so that the lengthof the rope is minimum?4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline.Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walksalong the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400meters from point A. How far from point A must the man lands (end of his swim), then walks alongthe shoreline to his destination, so that the total time of swimming and walking is minimum?

Answered: Image /qna-images/answer/2fc6bf80-d638-4553-9d3f-473780ba7b2e.jpg

3. A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the same horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placed on the horizontal plane that will hold the rope from the top of the first post to the peg then to the top of the second post. How far from the shorter pole must the peg be installed so that the length of the rope is minimum?

3. A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the same horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placed on the horizontal plane that will hold the rope from the top of the first post to the peg then to the top of the second post. How far from the shorter pole must the peg be installed so that the length of the rope is minimum?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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