The base of a railing for a set of steps leading up to the front door of a house makes an angle of a degrees with he horizontal. Let d(x) be the horizontal distance between the two ends of the base of the railing. If the upper end of the railing is 4 feet higher than the lower end, find the positive number A such that d(x) = A cot x, and ise your function to find the length of the base of the railing if x = 35°. Round your answer to the nearest tenth of a foot. d (x) Base of railing ft

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.3: Solving Linear Equations
Problem 2TU: If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second...
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d(x) = ________

d(35 degrees) = _____ ft

The base of a railing for a set of steps leading up to the front door of a house makes an angle of a degrees with
the horizontal. Let d(x) be the horizontal distance between the two ends of the base of the railing. If the upper
end of the railing is 4 feet higher than the lower end, find the positive number A such that d(x) = A cot x, and
use your function to find the length of the base of the railing if x = 35°. Round your answer to the nearest tenth
of a foot.
d (x)
Base of
railing
Transcribed Image Text:The base of a railing for a set of steps leading up to the front door of a house makes an angle of a degrees with the horizontal. Let d(x) be the horizontal distance between the two ends of the base of the railing. If the upper end of the railing is 4 feet higher than the lower end, find the positive number A such that d(x) = A cot x, and use your function to find the length of the base of the railing if x = 35°. Round your answer to the nearest tenth of a foot. d (x) Base of railing
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