To determine how quickly the drone is losing altitude, we first need to calculate the total change in altitude and then find the rate of descent.
- Initial Altitude: 120 meters
- Final Altitude: 25 meters
- Change in Altitude: 120 meters - 25 meters = 95 meters (the drone is descending, so this will be a negative change).
Next, we need to convert this change in meters to feet. Since 1 meter is approximately 3.28084 feet:
\[ 95 \text{ meters} \times 3.28084 \text{ feet/meter} \approx 311.674 \text{ feet} \]
Now, since it takes the drone 8.4 seconds to make this descent, we can find the rate of descent in feet per second:
\[ \text{Rate of descent} = \frac{\text{Change in altitude (feet)}}{\text{Time (seconds)}} \]
\[ \text{Rate of descent} = \frac{-311.674 \text{ feet}}{8.4 \text{ seconds}} \approx -37.14 \text{ feet per second} \]
Since we are interpreting the quotient in the context of the problem, the negative sign indicates a decrease in altitude.
The correct interpretation of the quotient here, based on the options provided, could be summarized as:
Response: The drone's elevation changed -37.14 feet each second.
However, none of the responses you provided accurately reflect this calculation.
If we consider only the closest options, the best fit would be to express the descent negatively as:
The drone's elevation changed -11.3 feet each second.
But please be aware that the exact calculated descent rate is approximately -37.14 feet per second, which means that further adjustments to the provided options might be needed.