Skip to main content
6. Derivatives of Inverse, Exponential, & Logarithmic Functions
6. Derivatives of Inverse, Exponential, & Logarithmic Functions / Derivatives of Inverse Trigonometric Functions / Problem 6
Problem 6

A lighthouse stands 200200 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 dθdx\(\frac{\mathrm{d\theta}\)}{\(\mathrm{dx}\)} when the ship is x=300 mx=300\(\text{ m}\) away from the lighthouse.