A tracking camera is positioned from the base of a vertically ascending rocket

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A tracking camera is positioned

50\,\text{m}

from the base of a vertically ascending rocket. At the moment the rocket is

120\,\text{m}

above the pad and rising at

30\,\text{m/s}

, what is the rate of change of the camera’s angle of elevation

\theta

, in radians per second? (a)

0.60\,\text{rad/s}

(b)

0.23\,\text{rad/s}

(c)

0.089\,\text{rad/s}

(d)

0.18\,\text{rad/s}