Question

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!)

Answer 1

I don't understand trig very well but I do get pythagorean theorem, which I can help with. Your final answer will end up being 31.

Explanation:

First off the formula for pythagorean theorem is a^2 + b^2 = c^2

We know that C stands for the hypotenuse so we want to know what C is.

A and B are both 22 so our equation turns into 22^2 + 22^2 = c^2

22 squared is 484 which leads to 484 + 484 = c^2

484 + 484 = 968

968 is our C^2 but we still need to find the square root

The square root of 968 is 31.11269837... and a whole lot of other numbers

You round that out to 31 and get the length of your diagonal