The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways: (a) Using the Pythagorean Theorem. (b) Using trigonometry. Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!) Question 2 options:
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raphealnwobi 5 months ago
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The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

### What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the length of the diagonal, Usinng Pythagoras:

d² = 22² + 22²

d = 31 feet

Using trigonometric identity:

sin(45) = 22/d

d = 31 feet

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

Find out more on equation at: https://brainacademy.pro/question/2972832