Newton’s Angle

Newton’s Angle
Sir Issac Newton was examining an angle formed by two segments joined on a piece of paper.  After using a protractor, he determined the measure (in degrees) of the angle to be one-fifth of the square root of forty-three less than the year he was born.  Sir Issac Newton uses his magnifying glass that magnifies everything three and one-half times the original size to view this angle.  What is the angle measure (in degrees) while viewing it under the magnifying glass?
Source: mathcontest.olemiss.edu 4/5/2010

SOLUTION
If you draw a right angle on a piece of paper and then look at it through a magnifying glass, it still looks like a right angle. Magnifying glass increases the size of objects but preserves the angles made by the objects.

Newtons’ birth year is 1643. Thus, the measure of the angle is
\frac{1}{5}\left (\sqrt{1643-43}\right )=\frac{1}{5}\left (\sqrt{1600}\right )
=\frac{1}{5}\left (40\right )
= 8^\circ
.

Answer: 8^\circ.

Advertisements

About mvtrinh

Retired high school math teacher.
This entry was posted in Problem solving and tagged , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

w

Connecting to %s