Respuesta :
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.
