A chemistry student is 159 cm tall and weighs 45.8 kg. What is her height in inches and her weight in pounds?

Sure! Let's convert the student's height from centimeters to inches and weight from kilograms to pounds step-by-step.

### 1. Converting Height from Centimeters to Inches:
The conversion factor from centimeters to inches is approximately 0.393701. This means 1 centimeter is equal to 0.393701 inches.

Given:
- Height = 159 cm

To find the height in inches:
[tex]\[
\text{Height in inches} = \text{Height in cm} \times \text{Conversion factor}
\][/tex]
[tex]\[
\text{Height in inches} = 159 \times 0.393701
\][/tex]
[tex]\[
\text{Height in inches} \approx 62.60 \text{ inches}
\][/tex]

### 2. Converting Weight from Kilograms to Pounds:
The conversion factor from kilograms to pounds is approximately 2.20462. This means 1 kilogram is equal to 2.20462 pounds.

Given:
- Weight = 45.8 kg

To find the weight in pounds:
[tex]\[
\text{Weight in pounds} = \text{Weight in kg} \times \text{Conversion factor}
\][/tex]
[tex]\[
\text{Weight in pounds} = 45.8 \times 2.20462
\][/tex]
[tex]\[
\text{Weight in pounds} \approx 100.97 \text{ pounds}
\][/tex]

### Final Answer:
- The student's height is approximately [tex]$62.60$[/tex] inches.
- The student's weight is approximately [tex]$100.97$[/tex] pounds.