An airplane flies at an altitude of 5 miles toward a point directly ov

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An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider θ and x as shown in the figure. Not drawn to scale (a) Write θ as a function of x. θ(x) = (b) The speed of the plane is 320 miles per hour. Find dθ/dt when x = 10 miles and x = 5 miles. (Round your answers to three decimal places. ) when x = 10 dθ dt = rad/h when x = 5 dθ dt = rad/h

An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider θ and x as shown in the figure. Not drawn to scale (a) Write θ as a function of x. θ(x) = (b) The speed of the plane is 320 miles per hour. Find dθ/dt when x = 10 miles and x = 5 miles. (Round your answers to three decimal places. ) when x = 10 dθ dt = rad/h when x = 5 dθ dt = rad/h

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An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider

θ

and

x

as shown in the figure. Not drawn to scale (a) Write

θ

as a function of

x

.

θ (x) =

◻

(b) The speed of the plane is 320 miles per hour. Find

d θ / d t

when

x = 10

miles and

x = 5

miles. (Round your answers to three decimal places.) when

x = 10 \frac{d θ}{d t} =

◻

r a d / h

when

x = 5 \frac{d θ}{d t} =

◻

r a d / h

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