An airplane flies at an altitude of y = 7 miles toward a point directly over an observer (see figure). The speed of the plane is 700 miles per hour. Find the rates at which the angle of elevation 𝜃 is changing when the angle is 𝜃 = 30°,

Question

𝜃 = 60°, and 𝜃 = 80°

Answer 1

draw a diagram. You can see that when the plane is x feet away horizontally,
tanθ = 7/x
sec^2θ dθ/dt = -7/x^2 dx/dt
so plug in your numbers, knowing that dx/dt = -700

Answer 2

im still not getting the right answer

Answer 3

so show your work, and let's see what's up.
Maybe I made a mistake.