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Learning Goal Review - Practice Test

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MBF 3CI Learning Goal Review – Practice Test

Learning Goal: I can solve for a side in a Right Triangle using Pythagorean Theorem.

1. Find missing side ‘x’ to 1 decimal place

a) b)

Learning Goal: I can solve for a side in a Right Triangle using SOH CAH TOA

2. Find missing side ‘x’ to 1 decimal place

a) b)

Learning Goal: I can solve for an angle in a Right Triangle using SOH CAH TOA

3. Find angle θ to one decimal place.

a) b)

34

62º

x

x 13

14º

9.1

4.8 θ

43

36

θ 35

42 x

x

21 17

(2)

Learning Goal: I can solve for sides and angles using the Sine Law

4. Find the missing side “x” or angle “θθθθ” to 1 decimal place

Learning Goal: I can solve for sides and angles using the Cosine Law

5. Solve for the indicated side “x” or angle “θθθθ” to 1 decimal place.

Learning Goal: I can do a “height of the mountain" question.

6. The angle of elevation to the top of a mountain is 45°. If I walk 100m further away the angle of elevation is 44°. What is the height of the mountain 1 decimal place?

Learning Goal: I can do a “height of the cloud” question.

7. Two people are 250m apart. The angles of elevation to a cloud directly between them are 30° and 40° respectively. What is the height of the cloud to 1 decimal place?

Learning Goal: I can do a “holes drilled on a circle" question.

8. A plate has 8 equally spaced holes drilled on a circle with 50cm diameter.

What is the distance between the centres of adjacent holes to 2 decimal places?

Learning Goal: I can do a “3D” Question.

9. Determine the height of the cliff, h, to 1 decimal place.

39

48 x

56º

46 24

θθθθ 61 95º

15

x

38º

54 86º

28

θθθθ

h

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