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6. A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light.

6. A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter19: Achievement Review—section One
Section: Chapter Questions
Problem 29AR: A piece of round stock is being turned to a 17.86-millimeter diameter. A machinist measures the...
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6. A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light. 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above ground. At what rate is the length of his shadow changing when he is 20 feet away from the base of the light? At what rate is the tip of his shadow moving? 8. Water is running out of a conical funnel at the rate of 2 cubic inches per second. Th radius at the top of the funnel is 6 inches and the height of the funnel is 12 inches. How fast is the water level dropping when the water is 4 inches deep?
Transcribed Image Text:6. A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light. 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above ground. At what rate is the length of his shadow changing when he is 20 feet away from the base of the light? At what rate is the tip of his shadow moving? 8. Water is running out of a conical funnel at the rate of 2 cubic inches per second. Th radius at the top of the funnel is 6 inches and the height of the funnel is 12 inches. How fast is the water level dropping when the water is 4 inches deep?
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