(3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 19 inches wide. Stating explicitly the formulae used, determine: (i) How many rungs does the ladder have if each rung is 2.5 inches shorter than the one below it? (ii) How much material would be needed to make the rungs for the ladder described?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability
and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches
wide and the top rung is 19 inches wide. Stating explicitly the formulae used,
determine:
(i) How many rungs does the ladder have if each rung is 2.5 inches shorter than the
one below it?
(ii) How much material would be needed to make the rungs for the ladder described?
Transcribed Image Text:(3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 19 inches wide. Stating explicitly the formulae used, determine: (i) How many rungs does the ladder have if each rung is 2.5 inches shorter than the one below it? (ii) How much material would be needed to make the rungs for the ladder described?
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