The correct answer for each question is indicated by a .

1

Which of the following correctly completes the sentence?
“A right triangle can be solved if you know the measure of:
I. …one side.”
II. …two sides.”
III. … one side and one other angle.”

A)

I only.

B)

II only.

C)

III only.

D)

II and III.

2

The use of which of the following formula(s) would be sufficient to solve the triangle shown: (14.0K)

A)

Sine law alone.

B)

Cosine law alone.

C)

Sine law and cosine law used in combination.

D)

Pythagorean Theorem and trigonometric ratios.

3

Which formula(s) would be needed to solve the triangle shown: (10.0K)

A)

Cosine law alone.

B)

Sine law and cosine law used in combination.

C)

Pythagorean Theorem and trigonometric ratios.

D)

Cannot be solved without more information being supplied.

4

A balloonist is tethered 50 m above the ground between two trees as shown (20.0K)
What is the distance between the trees to the nearest metre?

A)

71 m

B)

127 m

C)

209 m

D)

238 m

5

A surveyor finds the angles between three mountains to be 52°, 58°, and 70°. If the two mountains which are furthest apart are 24 km apart, find the other distances between the mountains to the nearest tenth of a kilometre.

A)

26.6 km and 28.6 km

B)

20.1 km and 21.7 km

C)

22.3 km and 26.6 km

D)

25.9 km and 28.6 km

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