A lighthouse stands 200 200 meters tall on a straight coastline. A ship sails directly towards the lighthouse. Let θ \theta be the angle of elevation of the lighthouse from the ship. Find the rate of change of the angle of elevation d θ d x \frac{\mathrm{d\theta}}{\mathrm{dx}} when the ship is x = 300 m x=300\text{ m} away from the lighthouse.

− 0.00154 radians per meter -0.00154\text{ radians per meter}

− 0.00344 radians per meter -0.00344\text{ radians per meter}

− 0.00308 radians per meter -0.00308\text{ radians per meter}

− 0.00054 radians per meter -0.00054\text{ radians per meter}

A lighthouse stands 200200 meters tall on a straig...

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