A lighthouse L is due north of a point P. A boat travels at 8 km/h on a course 035 degrees, leaving the port at 0900.
(a) Using a scale of 1cm to represent 1 km, construct the position at which the boat is equidistant from P and L.
At A, the boat alters course and sails on a constant bearing so that its nearest distance from the lighthouse is 2 km.
(b) Obtain by geometrical construction the two possible courses and measure the bearings.

Question

A lighthouse L is due north of a point P. A boat travels at 8 km/h on a course 035 degrees, leaving the port at 0900. 
(a) Using a scale of 1cm to represent 1 km, construct the position at which the boat is equidistant from P and L. 
At A, the boat alters course and sails on a constant bearing so that its nearest distance from the lighthouse is 2 km. 
(b) Obtain by geometrical construction the two possible courses and measure the bearings.