A weather balloon rises vertically at a constant rate of

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

4.0\,\text{m/s}

. An observer is stationed

30\,\text{m}

horizontally from the point on the ground directly beneath the balloon. When the balloon is

40\,\text{m}

above the ground, calculate the instantaneous rate of change (in

\,\text{rad/s}

) of the observer’s angle of elevation

\theta