The angle of elevation of the sun's rays on Earth varies with the latitude on Earth and the time of the year. An architect is designing the eave of a house so that at the summer solstice (when the angle of elevation is greatest), the sun's direct rays will miss a window, thereby keeping the house cooler. At the winter solstice (when the angle of elevation is smallest), the sun's direct rays will enter the window and thereby provide more heat. Determine the width of the eave (the value of x in the diagram below) and the distance below the eave the window should start (the value of y) that will accomplish the architect's goal. (Round your answers to one decimal place.) width of eave ft distance below the eave y = ft

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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The angle of elevation of the sun's rays on Earth varies with the latitude on Earth and the time of the year. An architect is designing the eave of a house so that at the summer solstice (when the angle of elevation is
greatest), the sun's direct rays will miss a window, thereby keeping the house cooler. At the winter solstice (when the angle of elevation is smallest), the sun's direct rays will enter the window and thereby provide
more heat. Determine the width of the eave (the value of x in the diagram below) and the distance below the eave the window should start (the value of y) that will accomplish the architect's goal. (Round your
answers to one decimal place.)
width of eave
ft
distance below the eave
y =
ft
Transcribed Image Text:The angle of elevation of the sun's rays on Earth varies with the latitude on Earth and the time of the year. An architect is designing the eave of a house so that at the summer solstice (when the angle of elevation is greatest), the sun's direct rays will miss a window, thereby keeping the house cooler. At the winter solstice (when the angle of elevation is smallest), the sun's direct rays will enter the window and thereby provide more heat. Determine the width of the eave (the value of x in the diagram below) and the distance below the eave the window should start (the value of y) that will accomplish the architect's goal. (Round your answers to one decimal place.) width of eave ft distance below the eave y = ft
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