Name: ______________________ Class: _________________ Date: _________ MPM2D0 Assignment Chapter 7 Similar Triangles and Trigonometry ID: A 38 Marks Level 1– limited understanding of all/most concepts; few correct answers; little communication; limited strategies Level 2– basic understanding of some concepts; frequent errors; partial communication; simple strategies Level 3 –good understanding of most concepts; minor errors; appropriate strategies; reasonable communication Level 4– thorough understanding of all concepts; few / no errors; thorough communication; efficient strategies Short Answer 1. Explain why you can conclude that ABC ~ CDE. [3 Marks] 2. Determine the length of AB. [3 Marks] 1 Name: ______________________ ID: A 3. Bernie, who is 1.9 m tall, is walking away from a street sign that is 3.0 m tall. Draw a diagram that can be used to calculate how far Bernie is from the street sign when his shadow measures 2.6 m. [3 Marks] . 4. Calculate the measure of y to the nearest degree, using one of the trigonometric ratios. [3 Marks] . 5. Determine the measure of θ, in cos θ = 3 , to one decimal place. [2 Marks] 5 . 6. a) State two trigonometric ratios you could use to determine x.[ 2 Marks] b) Determine x to the nearest unit. [2 Marks] . 2 Name: ______________________ ID: A 7. In ABC, ∠C = 90°, b = 1.4 cm, and c = 5.9 cm. Calculate ∠B to the nearest degree. Draw a diagram. [4 Marks] . 8. The rise of a rafter drops by 5 units for every 11 units of run. Determine the angle of depression of the rafter. Draw a diagram [4 Marks] . 9. A plane is flying at an altitude of 1500 m toward a ship. The angle of depression to the ship is 15°. How far does the plane have to fly to end up directly over the ship? Draw a diagram. [ 4 Marks] 3 Name: ______________________ ID: A Problem 10. For a ladder to be stable, the angle that it makes with the ground should be no more than 78° and no less than 73°. a) If the base of a ladder 7.50 m long is placed 2.60 m from a wall, will the ladder be stable? Explain. [4 Marks] b) What are the minimum and maximum safe distances from the base of the ladder to the wall? Explain. [4 Marks] 4
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