Question

5.
Jennifer is a safety inspector for a family gym. Recently, guests have been complaining about the diving board, saying that it is leaning towards the water. Jennifer needs to know whether this diving board is standing up straight or not. Jennifer measures the height of the diving board to be 9 feet. The pool is 12 feet across and she measures the diagonal from the other side of the pool to the top of the diving board to be 15 feet. Is the diving board at a 90-degree angle with the ground? Explain how you know

Answer 1

You will have to use pathagorean theorem. If it is exactly 90 degrees, then it will come out properly.

Answer 2

None of the angles of the triangle are 90 degrees though

Answer 3

It doesn't give the angles though. You have to figure out whether or not it is. In this case, you are trying to find out if this is true or not: a^2 + b^2 =? c^2 where a is the height, b is the length and c is the diagonal

Answer 4

Well the triangle does follow the pythagorean theorem since -

9^2 + 12^2 = 15^2.

So i think diving board makes 90 deg angle

Answer 5

After solving I got 42=30...Did I do something wrong...

Answer 6

It should be squared, not times 2.

Answer 7

Oh. so then it'd be..225=225. I don't see how you'd know whether or not the diving board is at a 90 degree angle though

Answer 8

As long as pathagorean's theorem is satisfied, it is a right angle

Answer 9

Oh, ok. Thanks.

Answer 10

No problem