Show complete solutions for full marks. 1. A ladder reaches 5 m up a wall. The angle of elevation from the ground to the ladder is 720. Find the length of the ladder. Round your answer to the nearest tenth of a metre. Draw a diagram and show your work. [2] 2. The world's longest escalator is in the subway system in St. Petersburg, Russia. The escalator is 330.7 m long and rises a vertical distance of 59.7 m. Sketch a diagram and determine the angle of elevation of the top of the escalator when viewed from the bottom, to the nearest degree. [2] 3. Determine the measure of the indicated side or angle. a) angle BEC to the nearest degree. [2] 3.7 m 4.6 m 390 Cb) Find the length of PQ to the nearest centimeter. [3] S 12" 310 6.3 cm R Q 4. Given the graph of y = g(x) below, determine the following: [2] a) g(-4) = -3 -2 b) When g(x) =4, x =5. For the following relations: [12] a) state the domain and range. b) state if the relation is a function or not. i) ii ) -2- Domain: Domain: Range: Range: Function? Yes / No Function? Yes / No iii) iv) Domain: Domain: Range: Range: Function? Yes / No Function? Yes / No6. Laurie installed a rain barrel watering system that collects water and distributes it to her garden. She has found that the number of litres of water remaining in the barrel is modelled by the equation L= -2.5t + 50, where L is the number of litres of water in the barrel, and z is the time measured in days. [5] a) State the y-intercept and explain what it represents in this scenario. Litres of Water b) State the x-intercept and explain what it represents in this scenario. 20 Time (days) c) Determine the rate of change. d) Explain what does the rate of change represent in this scenario. e) Use function notation to state the equation relating the number of litres of water in the barrel to the time in days