STEM Project 2019 9/11 Memorial Hypotenuse Chung L, Hadelly R.

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Presentation transcript:

STEM Project 2019 9/11 Memorial Hypotenuse Chung L, Hadelly R.

Objective: Use trigonometry to find the displacement between individual A standing on one corner of the North Pool of the 9/11 memorial to individual B who is standing on the opposite corner of the North Pool.

Problem: The 9/11 memorial features two waterfalls/reflecting pools and are an acre in size each. If individual A is standing at the near east corner of the North pool and individual B is right across on the opposite corner, what is the shortest distance or the displacement between individual A and B?

Solution: Since the North Pool of the 911 Memorial is a square which is made up of two isosceles triangles, the hypotenuse of one of the two isosceles triangles would be the shortest distance (displacement) from A to C.

Isosceles Right Triangle: An isosceles triangle has angles of 45°- 45° and 90°.

The length of the sides of the square pool are 208.71 ft each.

Using the 90°- 45°- 45° degree triangle rule, we know that if the sides are 208.71 ft each the hypotenuse H would be: