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MPM2D1 7.5 Solve Problems Involving Right Triangles Recall: THE PRIMARY TRIGONOMETRIC RATIOS FOR โ A ๏ท ๐๐๐ ๐จ = ๏ท ๐๐๐ ๐จ = ๏ท ๐๐๐ ๐จ = Example 1: Solve each triangle. Round the measure of each angle to the nearest degree. Round the length of each side to the nearest unit. a. b. Solve for i and j. R 13 m i S 10 m j T 60° 8 cm Definition of terms: Angle of depression/ declination: angle measured below the horizontal: Angle of elevation/inclination: angle measured above the horizontal: Example 2: Kath and Yoly live in apartment buildings that are 30 m apart . The Angle of depression from Kathโs balcony to where Yolyโs building meets the ground is 40°.The angle of elevation from Kathโs balcony to Yolyโs balcony is 20°. Sketch: a) How high is Kathโs balcony above the ground, to the nearest metre? b) How high is Yolyโs balcony above the ground, to the nearest metre? MPM2D1 7.5 Solve Problems Involving Right Triangles Example 3: A theodolite is an instrument used by a surveyor to measure horizontal and vertical angles. Measurements are taken in order to find the height of a cliff on the other side of a river, as shown. Find the height of the cliff, to the nearest metre Example 4: Laura is throwing a Frisbee 3 m into the air. Her sister is waiting to catch the Frisbee 5 m away, directly below the Frisbee. What is the angle of elevation of the path of the Frisbee? Sketch: Example 5: Antea wants to wash the outside windows of her house. In order to do this, she must use a ladder. The greatest angle of elevation that is possible for the ladder is 27°. The ladder is 3 m long. What is the maximum height that the ladder can reach? Sketch: Select 10 questions even or odd numbers to practice on page380-385