An observer is 40 m from the base of a hot-air balloon that is rising vertically at 2 m/s

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

Problem

An observer is 40 m from the base of a hot-air balloon that is rising vertically at 2 m/s. When the balloon is 50 m above the ground, indicate whether the rate of change of the observer’s angle of elevation θ\theta is positive or negative, and state one reason for your answer (one sentence).

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