Explanation:
To solve this problem, we need to use the formula:
distance = speed x time
where distance is the length of the tape, speed is the speed at which the tape travels through the player, and time is the playing time of the tape.
We are given the speed of the tape, which is 0.048 meters per second. We are also given the playing time of the tape, which is 30 minutes. However, the speed is given in meters per second, and the time is given in minutes. So we need to convert the playing time from minutes to seconds:
30 minutes = 30 x 60 seconds = 1800 seconds
Now we can use the formula to find the length of the tape:
distance = speed x time
distance = 0.048 m/s x 1800 s
distance = 86.4 meters
Therefore, the tape that can play for 30 minutes is 86.4 meters long.