K We can make "pencilogons" by aligning multiple, identical pencils end-of-tip to start-of-tip together without leaving any gaps, as shown above, so that the enclosed area forms a regular polygon (the example above left is an 8-pencilogon). 70 7° Find the value of m + n. 7° Hazri wants to make an n-pencilogon using n identical pencils with pencil tips of angle 7°. After he aligns n 18 pencils, he finds out the gap between the two ends is too small to fit in another pencil. So, in order to complete the pencilogon, he has to sharpen all the n pencils so that the angle of all the pencil tips becomes (7 m)°. (Assume the pencils have a rectangular body and have their tips resembling isosceles triangles)
K We can make "pencilogons" by aligning multiple, identical pencils end-of-tip to start-of-tip together without leaving any gaps, as shown above, so that the enclosed area forms a regular polygon (the example above left is an 8-pencilogon). 70 7° Find the value of m + n. 7° Hazri wants to make an n-pencilogon using n identical pencils with pencil tips of angle 7°. After he aligns n 18 pencils, he finds out the gap between the two ends is too small to fit in another pencil. So, in order to complete the pencilogon, he has to sharpen all the n pencils so that the angle of all the pencil tips becomes (7 m)°. (Assume the pencils have a rectangular body and have their tips resembling isosceles triangles)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:70
70
7°
We can make "pencilogons" by aligning multiple, identical pencils end-of-tip to start-of-tip
together without leaving any gaps, as shown above, so that the enclosed area forms a regular
polygon (the ample above left is an 8-pencilogon).
Find the value of m + n.
Hazri wants to make an n-pencilogon using n identical pencils with pencil tips of angle 7°.
18 8 pencils, he finds out the gap between the two ends is too small to fit in
After he aligns n
another pencil.
So, in order to complete the pencilogon, he has to sharpen all the n pencils so that the angle
of all the pencil tips becomes (7 — m)°.
(Assume the pencils have a rectangular body and have their tips resembling isosceles
triangles)
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