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Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters would the center of the rail rise above the​ ground?

Respuesta :

3km =m 3 x 1000m = 3 x 10 ^3m

expansion = 3x 10^3m + 15 x 10 cm

Answer:

The center of the rail rise above the​ ground is:

                   15 meter.

Step-by-step explanation:

As the railroad on expansion will form a right isosceles triangle.

The railroad is 3 km=3000 m before expansion.

It expanded by 15 cm.

This means that in meters it expanded by 0.15 m

Hence, the railroad  after expansion it is:  3000.15 m

Now we need to calculate the hypotenuse of the right triangle in order to find the  center of the rail rise above the ground.

and hence it is calculated as:

[tex]=\dfrac{1}{2}\times \sqrt{(3000.15)^2-(3000)^2}\\\\\\=\dfrac{1}{2}\times 30.000374977=15.000187[/tex]

which in meters is approximately given by:

                              15 meters.  

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