Suppose a railroad rail is 5 kilometers and it expands on a hot day by 18 centimeters in length. Approximately how many meters w ould the center of the rail rise above the ground?
1 answer:
Answer:
21.2 m
Step-by-step explanation:
The Pythagorean theorem tells you the second side of a right triangle with hypotenuse 2500.09 meters and one side 2500 meters will be ...
height = √(2500.09² -2500²) = √450.0081 ≈ 21.2 . . . . meters
The rail will rise approximately 21 meters above the ground .
_____
If the rail forms an arc of a circle, the center of the arc will be about 18 meters above the ground. Solving that involves some iteration (or a graphing calculator).
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