4. The bottom of the legs of a three-legged table are the vertices of an isosceles triangle with sides 5, 5, and 6. The legs are to be braced at the bottom by three wires in the shape of a Y. What is the minimum length of wire needed? Show it is a 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.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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4. The bottom of the legs of a three-legged table are the vertices of an isosceles triangle
with sides 5, 5, and 6. The legs are to be braced at the bottom by three wires in the shape
of a Y. What is the minimum length of wire needed? Show it is a minimum.
5. A 200 foot tree is falling in the forest; the sun is directly overhead. At the moment
when the tree makes an angle of 30° with the horizontal, its shadow is lengthening at the
rate of 50 feet/sec. How fast is the angle changing at that moment?
Transcribed Image Text:4. The bottom of the legs of a three-legged table are the vertices of an isosceles triangle with sides 5, 5, and 6. The legs are to be braced at the bottom by three wires in the shape of a Y. What is the minimum length of wire needed? Show it is a minimum. 5. A 200 foot tree is falling in the forest; the sun is directly overhead. At the moment when the tree makes an angle of 30° with the horizontal, its shadow is lengthening at the rate of 50 feet/sec. How fast is the angle changing at that moment?
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