Download IB Math Studies 1 Test #5 Review Name: Review: What are the three

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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)