Geometry assignment

MCTAC 4 5 Assessment for Feedback and a Grade Assessment for feedback and a grade Applications of geometry ParlA You work for an environmental agency and residents of a rural area have occasionally seen what they think is a cougar in nearby farmers' elds. You have been asked to investigate the area and see if you can nd and follow the tracks of the cougar to get an idea of its location and the extent of its range. It takes a few days, but nally one morning you nd fresh tracks near one of the farms which you follow. You move at a brisk pace of 1.4 mls in the direction N25E following the tracks. After2 hours. you notice that the tracks change direction and are now moving in the direction N7UW. You continue following the tracks along this new heading travelling a little faster at 1.8 mls. After 1.5 hours, you come to a river and the tracks disappear. You have conrmed that there is denitely a cougar in the area. Your agency has asked you for the following: 1. Draw a vector diagram showing the distance and direction you travelled, as well as the resultant from your initial position to where the tracks disappeared at the river. 2. Determine the distance and direction of the resultant. You can use either of the methods you have learned in making your calculations. Copyrlgtll o 2020 The Ontario Educational CornmunlcalionsAulttority. All rights reserved. TVO ILC MCTAC 4.5 Aeuslrhant for Feedback and a Glade Part B Carlie and Dylan meet in a local park at the edge of a large circular pond. They decide to walk in opposite directions around the pond. Carlie walks at a speed of 4.5 feet/second for 15 seconds. Dylan walks at a speed of 1.6 metres/second tor 12 seconds. When they stop. they look at each other and wave. Just then. they notice that two of their friends, Abby and Ben. are also at pond, but not together. They are the same distance apart as Carlie and Dylan. but on the other side of the pond. Carlie estimates the angle between Abby. herself. and Ben. LACE. to be 42". Determine the following: 3. What is the angle between Carlie. the centre of the pond. and Dylan? 4. How far is Carlie from the centre ofthe pond? How far is Dylan from the centre of the pond? Show all your calculations and include a diagram with your solution