Quiz about Unit 9 Review

Question 1

Is it possible for a triangle to have side with lengths 4, $$\sqrt[]{11}$$ , and 8?

Accepted Answer

Not Possible

Answer

Possible

Question 2

Classify the triangle with side lengths $$\sqrt[]{5}$$ , 5, and 5.5 as either acute, obtuse, or right.

Accepted Answer

Obtuse

Answer

Acute

Answer

Right

Question 3

Find the length of the missing side.

Accepted Answer

13 cm

Answer

17 cm

Answer

22 cm

Answer

15 cm

Question 4

A pencil is sitting inside of a cylindrical cup. Given the lengths in the figure on the left, determine the length of the pencil to the nearest tenth.

Accepted Answer

15.6

Answer

6.6

Answer

44

Answer

16

Question 5

What is the geometric mean between 4 and 9?

Accepted Answer

6

Answer

5

Answer

5.6

Answer

7

Question 6

Find the exact missing value of q.

Accepted Answer

16 $$\sqrt[]{2}$$

Answer

16

Answer

8

Answer

16 $$\sqrt[]{3}$$

Question 7

Find the exact missing value of f.

Accepted Answer

$$\frac{8\sqrt[]{3}}{3}$$

Answer

8 $$\sqrt[]{3}$$

Answer

4

Answer

$$\frac{4\sqrt[]{3}}{3}$$

Question 8

Determine the exact missing value of x.

Accepted Answer

16

Answer

$$2\sqrt[]{3}$$

Answer

32

Answer

$$4\sqrt[]{2}$$

Question 9

Find the exact missing value of x.

Accepted Answer

$$2\sqrt[]{7}$$

Answer

$$2\sqrt[]{6}$$

Answer

24

Answer

6

Question 10

Rewrite the expression in terms of sine: $$\cos19\degree.$$

Accepted Answer

$$\sin\ 71\degree$$

Answer

$$\sin45\degree$$

Answer

$$\cos71\degree$$

Answer

$$\sin19\degree$$

Question 11

Rewrite the expression in terms of cosine: $$\sin\ 54\degree$$

Accepted Answer

$$\cos26\degree$$

Answer

$$\cos54\degree$$

Answer

$$\sin26\degree$$

Answer

$$\cos90\degree$$

Question 12

Find the area of $$\Delta ABC$$ to the nearest tenth of a unit.

Accepted Answer

25.9

Answer

25

Answer

23

Answer

29.1

Question 13

In which situation would you NOT use the Law of Sines?

Accepted Answer

All three sides are known.

Answer

Two sides and an angle are known.

Answer

Two angles and a side are know.

Answer

Two angles and an included side are known.

Question 14

In which situation would you NOT use the Law of Cosines for solving a triangle?

Accepted Answer

Two angles and an included side are known.

Answer

All three sides are known.

Answer

Two sides and an included angle are known.

Question 15

Determine the value of Sin E in simplest form.

Accepted Answer

$$Sin\ E\ =\ \frac{3}{5}$$

Answer

$$Sin\ E\ =\ \frac{3}{4}$$

Answer

$$Sin\ E\ =\ \frac{4}{5}$$

Question 16

Determine the value of Cos D in simplest form.

Accepted Answer

$$Cos\ D\ =\ \frac{45}{53}$$

Answer

$$Cos\ D\ =\ \frac{28}{53}$$

Answer

$$Cos\ D\ =\ \frac{28}{45}$$

Question 17

Determine the value of Tan E in simplest form.

Accepted Answer

$$Tan\ E\ =\ \frac{15}{8}$$

Answer

$$Tan\ E\ =\ \frac{15}{17}$$

Answer

$$Tan\ E\ =\ \frac{8}{15}$$

Question 18

Use a calculator to approximate the acute angle to the nearest tenth of a degree.

$$Tan\ A=\ 0.55$$

Accepted Answer

$$m\angle A\ =\ 28.8\degree$$

Answer

$$m\angle A\ =\ 33.4\degree$$

Answer

$$m\angle A\ =\ 56.6\degree$$

Answer

$$m\angle A\ =\ 30\degree$$

Question 19

Use a calculator to approximate the acute angle to the nearest tenth of a degree.

Cos C = 0.47

Accepted Answer

$$m\angle C\ =\ 62.0\degree$$

Answer

$$m\angle C\ =\ 61.9\degree$$

Answer

$$m\angle C\ =\ 28\degree$$

Answer

$$m\angle C\ =\ 25.2\degree$$

Question 20

Use a calculator to approximate the acute angle to the nearest tenth of a degree.

$$Sin\ B=\ 0.21$$

Accepted Answer

$$m\angle B\ =\ 12.1\degree$$

Answer

$$m\angle B\ =\ 12\degree$$

Answer

$$m\angle B\ =\ 11.9\degree$$

Answer

$$m\angle B\ =\ 77.9\degree$$

Question 21

Is the figure on the left depicting a $$52\degree$$ angle of elevation or a $$52\degree$$ angle of depression?

Accepted Answer

$$52\degree$$ angle of elevation.

Answer

$$52\degree$$ angle of depression.

Question 22

Determine whether the $$30\degree$$ in the figure on the left is an angle of elevation or an angle of depression.

Accepted Answer

Angle of depression.

Answer

Angle of elevation.

Unit 9 Review

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