1. The triangles ABC and DEF are similar. Find the unknown side lengths (e and d) using proportions. [4] A (P E d F 2. Janice is getting ready to climb a steep cliff. She needs to fasten herself to a rope that is anchored at the top of the cliff. To estimate how much rope she needs, she stands 50 m from the base of the cliff and estimates that the angle of elevation to the top is 70 as shown. How high is the cliff? Round to the nearest tenth of a metre. [3] 3. An airplane is flying at an altitude of 2000m. The angle of depression from the airplane to a landmark on the ground is 12. a) Draw a labelled diagram. What is the airplane's horizontal distance to the landmark, to the nearest tenth of a metre? [3] b) What is the airplane's direct distance to the landmark, to the nearest tenth of a metre? [2] MPM 2D4 137 Name: 4. A 13.6m ladder leans against a wall. The base of the ladder is 3.5m from the ground. Draw a labelled diagram and determine the angle between the ladder and the ground. Round to the nearest degree. [3] 5. Chandra is riding in a hot-air balloon and spots her house and her school. She estimates how far away they are from her, and the angle separating their lines of sight, as shown. a) How far apart are Chandra''s home and school, to the nearest tenth of a kilometer? [4] b) Chandra's mom is watching her from home, and her friends are watching from school. Use the sine law to determine the angle of elevation that Chandra is at from both. Round answer to the nearest degree. [5] MPM 2D4 137 Name: 6. Solve for the indicated side length or angle. Round side lengths to the nearest tenth and round angles to the nearest degree. [12] a) b) D L N ) 29 0 53 244 cm 22.5cm 45.2 cm 68/ M F d E P c) d) X 18 cm v (46 t 15cm X 35cm 39cm Q 2.2 cm R