Use the spaces provided below to calculate the missing measurement for each of the 6

Question

types of screens. You are looking for the width, height, OR the diagonal. You must show
all steps in your work. The size of a screen is given by the length of its diagonal.
Round your answer to the nearest whole inch.
Movie Theater Screen
Theater Screen: 76 ft. Height: 30 ft.; Width:
____

Answer 1

To calculate the width of the movie theater screen, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (height and width).

Using the given information, we can set up the equation as follows:

diagonal^2 = height^2 + width^2

76^2 = 30^2 + width^2

5776 = 900 + width^2

5776 - 900 = width^2

4876 = width^2

Taking the square root of both sides:

√4876 = √width^2

69.84 = width (rounded to the nearest whole inch)

So, the width of the movie theater screen is approximately 70 feet.