Mathematics

Mathematics

Problem

A hot-air balloon rises vertically at a constant rate of 4 m/s4\text{ m/s}. An observer stands on level ground 50 m50\text{ m} from the point on the ground directly beneath the balloon. When the balloon is 120 m120\text{ m} above the ground, what is the rate of change of the observer’s angle of elevation θ\theta (in rad/s)? a) 0.03080.0308 b) 0.54080.5408 c) 0.01180.0118 d) 0.08000.0800

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