Mathematics

Mathematics

Problem

A weather balloon rises vertically at a constant rate of 4.0 m/s4.0\,\text{m/s}. An observer is stationed 30 m30\,\text{m} horizontally from the point on the ground directly beneath the balloon. When the balloon is 40 m40\,\text{m} above the ground, calculate the instantaneous rate of change (in  rad/s\,\text{rad/s}) of the observer’s angle of elevation θ\theta.

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