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Airida [17]
3 years ago
12

Suppose a railroad rail is 5 kilometers and it expands on a hot day by 20 centimeters in length. How many meters would the cente

r raise above the ground?
Mathematics
2 answers:
frutty [35]3 years ago
7 0
4 centimeters.... you're welcome
lesya692 [45]3 years ago
3 0
The length of the railroad is 1km and it expands 10cm. To solve this problem, you have to create a right triangle. You can do this by cutting everything in half. Your hypotenuse will be 1/2km + 5cm, one of the legs will be 1/2km. To make everything simple, I converted everything into meters. So you will have 500m + .05m as the hypotenuse and 500m as one of the legs. Use the Pythagorean theorem to solve for the other leg. Do not round your answer. My teacher emailed me a hint to answering the question. She cahnged everything to meters.

use Pythagoras theorem to solve for the other leg. that is your answer. Your teacher spelled it out for you.
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Answer:

<h2>39.94 cm</h2>

Solution,

ABCD is a rectangle.

Given,

AC= 64 cm

AB= 50 cm

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since, ABCD is a rectangle

<B= 90°

<h3>Using Pythagorean theorem:</h3>

{ac}^{2}  =  {ab}^{2}  +  {bc}^{2}  \\  {64}^{2}  =  {50}^{2}  +  {bc}^{2}  \\  {bc}^{2}  =  {64}^{2}  -  {50}^{2}  \\  {bc}^{2}  = 4096 - 2500 \\  {bc}^{2}  = 1596 \\ bc =  \sqrt{1596}  \\ bc = 39.94 \: cm

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