Suppose a railroad rail is 3 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:
16.43 meters
Step-by-step explanation:
If the shape of the rise is a triangle, then the center of it is half the total length from the end. We can find the rise (y) using the Pythagorean theorem:
1500.09² = 1500² +y² . . . . .dimensions in meters
270.0081 = y²
y = √270.0081 ≈ 16.43 . . . . meters
About the most it would rise is 16.43 meters .
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If the shape is an arc of a circle, the height is about 14.2 meters.
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