Solar heating and electric panels should face the sun so that you gain as much sunlight as possible. Fixed panels are mounted at the best winter angle to the horizontal according to the following formula: ? = 0.90 · (your latitude in degrees) + 29°. A homeowner in upstate New York (latitude 42.64°N) wishes to mount a solar heating panel that is 3.0 ft wide and 6.0 ft long facing south with its 3.0 ft side mounted on a flat roof at the appropriate winter angle. (Round your answers to two significant digits.)   (a) Find the height (in ft) above the roof of the top of the solar panel.   (b) Given that the width of the base of support is 3.0 ft, find the length (in ft) of the base of the support if the top of the solar panel is supported by vertical posts.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Solar heating and electric panels should face the sun so that you gain as much sunlight as possible. Fixed panels are mounted at the best winter angle to the horizontal according to the following formula: ? = 0.90 · (your latitude in degrees) + 29°. A homeowner in upstate New York (latitude 42.64°N) wishes to mount a solar heating panel that is 3.0 ft wide and 6.0 ft long facing south with its 3.0 ft side mounted on a flat roof at the appropriate winter angle. (Round your answers to two significant digits.)
 
(a) Find the height (in ft) above the roof of the top of the solar panel.
 
(b) Given that the width of the base of support is 3.0 ft, find the length (in ft) of the base of the support if the top of the solar panel is supported by vertical posts.
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