Question

use the information to answer the question. tara and maddie are at the corner of central avenue and vine street. tara walks at a constant rate of 6 feet per second along central avenue. maddie bikes at a constant rate of 12 feet per second along vine street. what is the shortest distance, in feet, between tara and maddie after 4 minutes? round the answer to the nearest whole number. enter the answer in the box. box feet

Explanation:

Step1: Convert time to seconds

4 minutes = 4 * 60 = 240 seconds

Step2: Calculate distance Tara walks

Distance = speed time = 6 240 = 1440 feet

Step3: Calculate distance Maddie bikes

Distance = speed time = 12 240 = 2880 feet

Step4: Use Pythagorean theorem

The paths are perpendicular, so shortest distance \( d = \sqrt{1440^2 + 2880^2} \)
\( d = \sqrt{2073600 + 8294400} = \sqrt{10368000} \approx 3220 \)

Answer:

3220