Concept explainers
To find: The length the architect should make the overhang, if the angle of elevation of the sun during this time is
Answer to Problem 34E
6.7 feet
Explanation of Solution
Given information: Architecture: An architect is designing an overhang above a sliding glass door. During the heat of the summer, the architect wants the overhang to prevent the rays of the sun from striking the glass at noon. The overhang has an angle of depression of
Calculation:
The sketch is shown with some additional angles figured out using alternate interior congruent angles, sum of a triangle and complementary angle facts. Below is a sketch of the triangle in question with the necessary info.
The obtuse angle was found by adding the 55 and 63 degree angles from the first sketch. The side labeled a is the length of the awning we are trying to find.
So by law of sines,
Thus, the length of the overhang is 6.7 feet.
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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