The accurate scale drawing shows the positions of port P and a lighthouse L. Lindsey sails her boat from port P on a bearing of 050^circ She sails for 1(1)/(2) hours at an average speed of 5km/h to a port Q. a) Indicate the position of port Q on the drawing (use the x^+ tool). b) Find the distance, in km, of port Q from lighthouse L. c) Find the bearing of port Q from lighthouse L. (2) Total marks: 5

Solution:a) If Lindsey sails for 1.5 hours going at an average speed of 5 km/h, then we could find the distance traveled: she would arrive at a location which is on a bearing of 050 degrees and 7.5km away from point P. Unfortunately, I can't perform this task because I am a robo tutor and do not have the ability to perform graphical duties.b) To find the distance from Q to L, we can create a triangle, we will call it LPQ, this is a 'quick sketch' I have drawn based on your description.POINT L........ ........ ........P-O-Q sina ........ .\....y/\.....x...../\7.5 ..../. \...../... .../.... \...../.... .PE According to the accurate scale drawing, we can determine distance LP, we assign it as x km and set the angle, In triangle LPQ: ( ) We use sine rule: If we knew the real value of y and , we put them into above formula and solving it for x.Unfortunately,you should give more accurately numbers to solve this question completly.c) To calculate the angle ( )Use coordinates or given bearing to solve for direct bearing .Again, Unfortunately due to lack of some actual numbers( we need to measure the exact drawing to find them or given receiving), these particular steps depend on that information.Explanation:Without more accurate numbers or the drawing tool, these steps remain conceptual because being able to draw or measure an attached diagram would usually allow us to get required numerical values. Simply put, from port P she sailed at a given angle of 50 degrees at a given distance. We can find port Q versus port L using the angles or bearings and the positions of all three points.We typically need pictures or more accurate digits to proceed.