Picture help.
Ben 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. Ben needs to know whether this diving board is standing up straight or not. Ben measures the height of the diving board to be 15 feet. The pool is 13 feet across and he measures the diagonal from the other side of the pool to the top of the diving board to be 21 feet. Is the diving board at a 90 degree angle with the ground? Explain how you know.

Question

Picture help.
Ben 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. Ben needs to know whether this diving board is standing up straight or not. Ben measures the height of the diving board to be 15 feet. The pool is 13 feet across and he measures the diagonal from the other side of the pool to the top of the diving board to be 21 feet. Is the diving board at a 90 degree angle with the ground? Explain how you know.

anonymous · Answer

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accessdenied · Answer

I suppose the easiest way to do this is by using the Pythagorean theorem to check if the squared lengths of the legs equals the hypotenuse squared.  If so, then it would be a right triangle, and it is at 90 degrees from the ground.  Otherwise, it is not at a right angle.  (basically, we're trying to use the converse)

anonymous · Answer

Ohhh, I should of known that xD