Mathematics

Mathematics

Problem

A weather balloon rises vertically at 6 m/s6\,\text{m/s}. An observer is stationed 100 m100\,\text{m} from the point of lift-off. When the balloon is 80 m80\,\text{m} above the ground, what is the instantaneous rate of change of the observer’s angle of elevation θ\theta (in rad/s)? a) 0.0610.061 b) 0.0750.075 c) 0.0370.037 d) 0.0470.047

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