Jerome high school s football team scored 38 points - id384493530, abigail018

Question

Mathematics: Jerome high school s football team scored 38 points in their first game. the next week,they only scored 17 points. find the percent change in the number of points scoredby the football team to the nearest tenth.

abigail018 · Accepted Answer

We need to find the angle (theta) formed by a 1/4 inch object (the hole in the cardboard) from your viewpoint 30 inches away.

tangent theta = opposite/adjacent = .25 / 30 = 0.0083333333
arc tangent (0.0083333333) = 0.47745 Degrees
(This is also the apparent angular size of the Moon.)

We need to know the size of the Moon.
We know it is 240,000 miles distant and it has an angular size of 0.47745 degrees.

From trigonometry we know
tangent (0.47745 degrees) = Moon diameter / 240,000
Moon diameter = tangent (0.47745 degrees) * 240,000
Moon diameter = 0.0083333 * 240,000
Moon diameter = 1999.99 miles (rounds to 2,000 miles)
So, from our experiment, we have determined that the Moon is about 2,000 miles in diameter.

SOURCE: I'd seriously suggest you go to this page:
http://www.1728.org/angsize.htm

Jerome high school's football team scored 38 points in their first game. the next week,
they only scored 17 points. find the percent change in the number of points scored
by the football team to the nearest tenth.

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Jerome high school's football team scored 38 points in their first game. the next week,they only scored 17 points. find the percent change in the number of points scoredby the football team to the nearest tenth.