1. A boat sails directly toward a 100 - meter skyscraper that stands on the edge of a harbour. The angular size θ of the building is the angle formed by lines from the top and bottom of the building to the observer (see figure).
(a) Express the angle θ as the function of x, the distance of the boat from the building.
(b) The boat is sailing directly toward the skyscraper at 3 m / s. Find dθ/dt when the boat is x = 300 m from the building.