Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centmeters in a meter and 2.54 centimeters in an inch. Use these facts to find jane's height to the nearest inch. Show the work that leads to your answer.

Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centimeters in a meter and 2.54 centimeters in an inch.

Now, to find jane's height to the nearest inch.

The height of Jane measured using metric ruler = 1.6 meters.

As, 1 meter = 100 centimeters.

So, by using conversion factor we convert the height of Jane into centimeters from meters:

[tex]1.6\ meter=1.6\times 100[/tex]

[tex]=160\ centimeters.[/tex]

Height of Jane in centimeters = 160.

As given, 2.54 centimeters in an inch.

Now, we convert the centimeters by using unitary method:

If, 2.54 centimeters = 1 inch.

Then, 1 centimeters = [tex]\frac{1}{2.54} \ inch[/tex]

So, 160 centimeters = [tex]\frac{1}{2.54}\times 160[/tex]

[tex]=\frac{160}{2.54}[/tex]

[tex]=62.99\ inches.[/tex]

Thus, the height nearest to inch = 63 inches.

Therefore, Jane's height is 63 inches.