Question

HELP
The ceiling of Joey's living room is a square that is 22 ft long on each side. Joey knows the diagonal of the ceiling from corner to corner must be longer than 22 ft.

(a) he thinks that because a square cut and half forms a special right triangle the diagonal as the hypotenuse so he multiplies the side by 2 to get 44 ft what is Joey's mistake
(b) what is the correct length of the diagonal in Joey ceiling used to correct the special right triangles shortcut (give exact answer no rounding)
(c) used either the pythagorean theorem or the correct trigonometry ratios to solve for the length of the diagonal ( round to nearest tenth of a foot )

make sure to show all your work

I will report if you comment something random to just get points

Answer 1

Answer:

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: brainly.com/question/2972832

Step-by-step explanation: