Gas rig Beta is 7 km from gas rig Gamma on a bearing of 210 degrees. Bearings are measured from North in a clockwise direction. The region less than 4 km from gas rig Beta is an exclusion zone for ships. (a) Using a scale of 1 cm to 1 km, draw a scale diagram showing the positions of the gas rigs, and shade the region that represents the exclusion zone. (b) A boat sails so that it is always the same distance from Gamma and Beta. Draw the route taken by the boat. (c) For what distance is the boat within 4 km of oil rig Beta?

Question

Gas rig Beta is 7 km from gas rig Gamma on a bearing of 210 degrees. Bearings are measured from North in a clockwise direction. The region less than 4 km from gas rig Beta is an exclusion zone for ships. (a) Using a scale of 1 cm to 1 km, draw a scale diagram showing the positions of the gas rigs, and shade the region that represents the exclusion zone. (b) A boat sails so that it is always the same distance from Gamma and Beta. Draw the route taken by the boat.  (c) For what distance is the boat within 4 km of oil rig Beta?