Answer:
this is the answer
Step-by-step explanation:
To solve this related rates problem, we can use the Pythagorean theorem. Let \( x \) be the distance traveled by the slower jet, and \( y \) be the distance between the jets. Then, \( y = \sqrt{12^2 + x^2} \).
Now, differentiate both sides of the equation with respect to time:
\[ \frac{dy}{dt} = \frac{1}{2\sqrt{12^2 + x^2}} \cdot 2x \frac{dx}{dt} \]
Given that the slower jet is 5 km ahead, when \( x = 5 \) km, we can substitute this into the equation along with the given values for \( \frac{dx}{dt} \) and \( x \) to find \( \frac{dy}{dt} \).
