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Transcript

IB Math Studies 1 Test #5 Review Name: _________________________ Review: What are the three trig ratios? For what type of triangles do you use them? For which cases should you use the Sine Rule? For which cases should you use the Cosine Rule? What are the three AREA formulas? When do you use each one? o o o 1) In triangle ABC, BC = 8 m, angle ACB = 110°, angle CAB = 40°, and angle ABC = 30°. Find the area of triangle ABC. 2) The diagram shows triangle ABC in which AB=28 cm, BC=13 cm, BD=12 cm and AD=20 cm. Find the area of triangle ADB. 3) A path goes around a forest so that it forms the three sides of a triangle. The lengths of two sides are 550 m and 290 m. These two sides meet at an angle of 115°. A diagram is shown below. a) Calculate the length of the third side of the triangle. Give your answer correct to the nearest 10 m. b) Inside the forest a second path forms the three sides of another triangle named ABC. Angle BAC is 53°, AC is 180 m and BC is 230 m. Calculate the size of angle ACB. 5) Find ALL of the missing variables. Round to 3 significant figures and include proper units. 6) Find all of the missing variables. Round to 3 significant figures and include proper units. 7) Find the area of the triangle. Round to 3 significant figures and make sure to include proper units. 8) Find the height of a flagpole which casts a shadow of 10 m when the sun makes an angle of 60⁰ to the horizontal. Round to 3 significant figures and include proper units: 9) In triangle ABC, find all missing angles if a = 11 cm, b = 12 cm, and c = 13 cm. Round to 3 significant figures and make sure to include proper units. 10) In triangle ABC, find all missing sides and angles if a = 14.6 cm, b = 17.4 cm, and angle B = 65⁰. Round to 3 significant figures and make sure to include proper units. 11) Using the diagram below, find the length of x. Round to 3 significant figures and make sure to include proper units. x 39⁰ 59⁰ 10 m 12)