A parasail is 120th of a meter above the water then after 10 minutes the parasail is 150th of a meter above the water what is the change in height

1 answer

To determine the change in height of the parasail, we can subtract the initial height from the final height.

Initial height: \( \frac{1}{120} \) meters
Final height: \( \frac{1}{150} \) meters

To perform the subtraction, we first need a common denominator. The least common multiple of 120 and 150 is 600.

Now, let's convert both fractions to have a denominator of 600:

  • For \( \frac{1}{120} \): \[ \frac{1}{120} = \frac{5}{600} \]

  • For \( \frac{1}{150} \): \[ \frac{1}{150} = \frac{4}{600} \]

Now we can find the change in height:

\[ \text{Change in height} = \frac{4}{600} - \frac{5}{600} = \frac{4 - 5}{600} = \frac{-1}{600} \]

This means that the change in height is \( -\frac{1}{600} \) meters, indicating that the parasail actually descended by \( \frac{1}{600} \) meters.