A balloon rises vertically from the ground at a constant rate of 4 m/s

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

Problem

A balloon rises vertically from the ground at a constant rate of 4 m/s. The balloon is observed from a point on level ground that is 200 m from the launch site. Calculate the rate at which the observer’s angle of elevation θ\theta is changing (in rad/s) at the instant the balloon is 150 m above the ground.

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