POW #22, due Monday 4/6
The television industry has set a standard for the sizing of regular television screens. The ratio of height h to width w is 3:4.
Use the Pythagorean theorem to write an equation relating h, w, and the diagonal length 19. Then solve your equation and determine the height and width of a nineteen-inch regular television screen.
XC: Find the standard aspect ratio for wide-screen television screens, and find the height and width for one of these that has a sixty-inch diagonal measurement.
Hint #1: Setting up the Pythagorean theorem means that:
h^2 + w^2 = 19^2
What you need to do, is come up with some value for h and some value for w, in terms of some common variable (let’s call it x) such that h:w = 3:4.
In the formula above “^2″ means squared, so h^2 means h-squared, or h*h. This is a common way to showing exponents in text that doesn’t allow superscripts. The “^” is used on many calculators to raise a number to a power.
Hint #2: I almost used this POW as bellwork one day last week. If you look on Moodle at the Powerpoint slides for that day, you’ll find a lot more guidance. (Be sure to look near the end of that day — that’s where I moved the bellwork, since we didn’t do it.)