Quiz about Level Unit 6 Review Mixed Practice

Question 1

Which of the following trig ratios are correct? Select TWO correct answers. (Simply if needed)

Accepted Answer

sec A = 5/4

Accepted Answer

cot A = 4/3

Answer

sin A = 4/5

Answer

tan A = 3/5

Question 2

Which of the following trig ratios are correct? Select TWO correct answers. (Simply if needed)

Accepted Answer

cos X = 15/17

Accepted Answer

csc X = 17/8

Answer

tan X = 15/8

Answer

sec X= 8/15

Question 3

Which of the following trig ratios are correct? Select TWO correct answers. (Simply if needed)

Accepted Answer

$$\sin L=\frac{2\sqrt[]{29}}{29}$$

Accepted Answer

$$\sec L=\frac{\sqrt[]{29}}{5}$$

Answer

$$ an L=\frac{5}{2}$$

Answer

$$\csc L=\frac{\sqrt[]{29}}{5}$$

Question 4

Find the value of sec N. Show your answer in the simplest radical.

Accepted Answer

$$\sec N=\frac{\sqrt[]{34}}{3}$$

Answer

$$\sec N\ =\ \frac{5}{3}$$

Answer

$$\sec N=\frac{5\sqrt[]{34}}{34}$$

Answer

$$\sec N=\frac{3\sqrt[]{34}}{34}$$

Answer

$$\sec N=\frac{\sqrt[]{34}}{5}$$

Question 5

Find the value of csc Z. Show your answer in the simplest radical.

Accepted Answer

$$\csc Z=\sqrt[]{5}$$

Answer

$$\csc Z\ =\ \frac{1}{2}$$

Answer

$$\csc Z=2$$

Answer

$$\csc Z=\frac{\sqrt[]{5}}{2}$$

Answer

$$\csc Z=\frac{\sqrt[]{5}}{5}$$

Question 6

In $$\Delta KLM,\ m\angle K=90\degree,\ ML=37\ and\ KM=12.\ $$ Find the value of tanM

(Draw diagram)

Accepted Answer

$$ an M=\frac{35}{12}$$

Answer

$$ an M\ =\ \frac{12}{37}$$

Answer

$$ an M=\frac{37}{12}$$

Answer

$$ an M=\frac{35}{37}$$

Answer

$$ an M=\frac{12}{35}$$

Question 7

Find all possible ways to find the value of x. Select ALL correct answers.

Accepted Answer

$$x=t\cos\left(68\degree\right)$$

Accepted Answer

$$x=\frac{y}{ an\left(68\degree ight)}$$

Accepted Answer

$$x=t\sin\left(22\degree\right)$$

Answer

$$x=t\cos\left(22\degree\right)$$

Answer

$$x=y an\left(68\degree ight)$$

Question 8

Find all possible ways to find the value of x. Select ALL correct answers.

Accepted Answer

$$x=h\sin\left(52\degree\right)$$

Accepted Answer

$$x=k an\left(52\degree ight)$$

Accepted Answer

$$x=h\cos\left(38\degree\right)$$

Answer

$$x=k\sin\left(38\degree\right)$$

Answer

$$x=k an\left(38\degree ight)$$

Question 9

Find missing side w.

Accepted Answer

$$19.04$$

Answer

$$9.235$$

Answer

$$11.72$$

Answer

$$24.36$$

Answer

11.82

Question 10

Find missing side LN.

Accepted Answer

$$6.837$$

Answer

$$22.21$$

Answer

$$64.50$$

Answer

$$7.23$$

Answer

$$19.86$$

Question 11

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree.

Accepted Answer

86.91 ft

Answer

62.52 ft

Answer

64.74 ft

Answer

93.20 ft

Question 12

A ladder is leaning up against a wall. The top of the ladder makes a $$62\degree$$ angle with the wall. The distance between the base of the ladder and the wall is 5 m. Find the length of the ladder.

Accepted Answer

5.663 m

Answer

10.65 m

Answer

4.415 m

Answer

2.347 m

Answer

6.400 m

Question 13

Find the value of missing angle x.

Accepted Answer

$$36.87\degree$$

Answer

$$53.13\degree$$

Answer

$$48.59\degree$$

Answer

$$41.41\degree$$

Question 14

Find the measure of the missing angle.

Accepted Answer

49.46o

Answer

56.98o

Answer

40.54o

Answer

33.02o

Question 15

Find the measure of $$\angle X$$

Accepted Answer

$$41.14\degree$$

Answer

$$48.86\degree$$

Answer

$$33.34\degree$$

Answer

$$56.66\degree$$

Question 16

A 16 foot ladder leans against a building. If the ladder reaches 14 ft high up the building, find the measure of the angle between the ladder and the ground.

Accepted Answer

$$61.04\degree$$

Answer

$$28.96\degree$$

Answer

$$41.19\degree$$

Answer

$$48.81\degree$$

Question 17

Find the missing sides of the triangle.

Accepted Answer

Question 18

Find the missing sides of the triangle.

Accepted Answer

Question 19

Find the missing sides x.

Accepted Answer

$$x=5\sqrt[]{3}$$

Answer

$$x=5$$

Answer

$$x=5\sqrt[]{12}$$

Answer

$$x=5\sqrt[]{2}$$

Question 20

Find the missing sides of the triangle.

Accepted Answer

Question 21

Find the missing sides of the triangle.

Accepted Answer

Question 22

Find the missing sides of the triangle.

Accepted Answer

Question 23

Find the missing sides of the triangle.

Accepted Answer

$$x=4\sqrt[]{3};\ y=8\sqrt[]{3}$$

Answer

$$x=6\sqrt[]{2};\ y=12\sqrt[]{2}$$

Answer

$$x=12\sqrt[]{3};\ y=24\sqrt[]{3}$$

Answer

$$x=6;\ y=6\sqrt[]{3}$$

Question 24

By using unit circle, find the exact value of $$\sin\left(150\degree\right)$$

Accepted Answer

$$\sin\left(150\degree\right)=\frac{1}{2}$$

Answer

$$\sin\left(150\degree\right)=-\frac{1}{2}$$

Answer

$$\sin\left(150\degree\right)=\frac{\sqrt[]{3}}{2}$$

Answer

$$\sin\left(150\degree\right)=-\frac{\sqrt[]{3}}{2}$$

Answer

$$\sin\left(150\degree\right)=-\frac{\sqrt[]{3}}{3}$$

Question 25

By using Unit circle, find the exact value of $$ an\left(240\degree ight)$$

Accepted Answer

$$ an\left(240\degree ight)=\sqrt[]{3}$$

Answer

$$ an\left(240\degree ight)=-\frac{1}{2}$$

Answer

$$ an\left(240\degree ight)=-\frac{\sqrt[]{3}}{2}$$

Answer

$$ an\left(240\degree ight)=-\sqrt[]{3}$$

Answer

$$ an\left(240\degree ight)=\frac{1}{\sqrt[]{3}}$$

Question 26

By using Unit Circle, find the exact value of $$ an\left(270\degree ight)$$

Accepted Answer

$$ an\left(270\degree ight):\ undefined$$

Answer

$$ an\left(270\degree ight)=0$$

Answer

$$ an\left(270\degree ight)=1$$

Answer

$$ an\left(270\degree ight)=-1$$

Question 27

By using Unit Circle, find the exact value of $$\sin\left(180\degree\right)$$

Accepted Answer

$$\sin\left(180\degree\right)=0$$

Answer

$$\sin\left(180\degree\right)=1$$

Answer

$$\sin\left(180\degree\right)=-1$$

Answer

$$\sin\left(180\degree\right):\ undefined$$

Question 28

By using Unit Circle, find the exact value of $$ an\left(150\degree ight)$$

Accepted Answer

$$ an\left(150\degree ight)=-\frac{\sqrt[]{3}}{3}$$

Answer

$$ an\left(150\degree ight)=\sqrt[]{3}$$

Answer

$$ an\left(150\degree ight)=-\sqrt[]{3}$$

Answer

$$ an\left(150\degree ight)=\frac{\sqrt[]{3}}{3}$$

Answer

$$ an\left(150\degree ight)=-\frac{\sqrt[]{2}}{2}$$

Question 29

By using Unit Circle, find the exact value of $$ an\left(135\degree ight)$$

Accepted Answer

$$ an\left(135\degree ight)=-1$$

Answer

$$ an\left(135\degree ight)=1$$

Answer

$$ an\left(135\degree ight)=-\frac{\sqrt[]{2}}{2}$$

Answer

$$ an\left(135\degree ight)=\frac{\sqrt[]{2}}{2}$$

Answer

$$ an\left(135\degree ight)=-\sqrt[]{2}$$

Question 30

By using Unit Circle, find the exact value of $$\cos\left(330\degree\right)$$

Accepted Answer

$$\cos\left(330\degree\right)=\frac{\sqrt[]{3}}{2}$$

Answer

$$\cos\left(330\degree\right)=-\frac{\sqrt[]{3}}{2}$$

Answer

$$\cos\left(300\degree\right)=-\frac{1}{2}$$

Answer

$$\cos\left(330\degree\right)=-\frac{\sqrt[]{2}}{2}$$

Answer

$$\cos\left(330\degree\right)=\frac{1}{2}$$

Question 31

By using Unit Circle, find the exact value of $$\cos\left(60\degree\right)$$

Accepted Answer

$$\cos\left(60\degree\right)=\frac{1}{2}$$

Answer

$$\cos\left(60\degree\right)=-\frac{\sqrt[]{3}}{2}$$

Answer

$$\cos\left(60\degree\right)=-\frac{1}{2}$$

Answer

$$\cos\left(60\degree\right)=\frac{\sqrt[]{2}}{2}$$

Answer

$$\cos\left(60\degree\right)=\frac{\sqrt[]{3}}{2}$$

Question 32

By using Unit Circle, find the exact value of $$\sin\left(300\degree\right)$$

Accepted Answer

$$\sin\left(300\degree\right)=-\frac{\sqrt[]{3}}{2}$$

Answer

$$\sin\left(300\degree\right)=-\frac{1}{2}$$

Answer

$$\sin\left(300\degree\right)=-\frac{\sqrt[]{2}}{2}$$

Answer

$$\sin\left(300\degree\right)=\frac{\sqrt[]{3}}{2}$$

Answer

$$\sin\left(300\degree\right)=\frac{1}{2}$$

Question 33

By using Unit Circle, find the exact value of $$\sec\left(60\degree\right)$$

Accepted Answer

$$\sec\left(60\degree\right)=2$$

Answer

$$\sec\left(60\degree\right)=\frac{2\sqrt[]{3}}{3}$$

Answer

$$\sec\left(60\degree\right)=-\frac{1}{2}$$

Answer

$$\sec\left(60\degree\right)=\frac{1}{2}$$

Answer

$$\sec\left(300\degree\right)=-2$$

Question 34

By using Unit Circle, find the exact value of $$\sec\left(135\degree\right)$$

Accepted Answer

$$\sec\left(135\degree\right)=-\sqrt[]{2}$$

Answer

$$\sec\left(135\degree\right)=-\frac{\sqrt[]{2}}{2}$$

Answer

$$\sec\left(135\degree\right)=\frac{\sqrt[]{2}}{2}$$

Answer

$$\sec\left(135\degree\right)=\sqrt[]{2}$$

Answer

$$\sec\left(135\degree\right)=-1$$

Question 35

By using Unit Circle, find the exact value of $$\csc\left(240\degree\right)$$

Accepted Answer

$$\csc\left(240\degree\right)=-\frac{2\sqrt[]{3}}{3}$$

Answer

$$\csc\left(240\degree\right)=-\frac{\sqrt[]{2}}{2}$$

Answer

$$\csc\left(240\degree\right)=-\frac{\sqrt[]{3}}{2}$$

Answer

$$\csc\left(240\degree\right)=-2$$

Answer

$$\csc\left(240\degree\right)=\frac{2\sqrt[]{3}}{3}$$

Question 36

By using Unit Circle, find the exact value of $$\csc\left(180\degree\right)$$

Accepted Answer

$$\csc\left(180\degree\right):\ Undefined$$

Answer

$$\csc\left(180\degree\right)=-1$$

Answer

$$\csc\left(180\degree\right)=1$$

Answer

$$\csc\left(180\degree\right)=0$$

Question 37

By using Unit Circle, find the exact value of $$\cot\left(315\degree\right)$$

Accepted Answer

$$\cot\left(315\degree\right)=-1$$

Answer

$$\cot\left(315\degree\right)=1$$

Answer

$$\cot\left(315\degree\right)=-\sqrt[]{2}$$

Answer

$$\cot\left(315\degree\right)=-\frac{\sqrt[]{2}}{2}$$

Answer

$$\cot\left(315\degree\right)=\frac{\sqrt[]{2}}{2}$$

Question 38

By using Unit Circle, find the exact value of $$\cot\left(30\degree\right)$$

Accepted Answer

$$\cot\left(30\degree\right)=\sqrt[]{3}$$

Answer

$$\cot\left(30\degree\right)=\frac{\sqrt[]{3}}{3}$$

Answer

$$\cot\left(30\degree\right)=-\frac{\sqrt[]{3}}{3}$$

Answer

$$\cot\left(30\degree\right)=-\sqrt[]{3}$$

Answer

$$\cot\left(30\degree\right)=\sqrt[]{2}$$

Question 39

Which two angles on the unit circle have a sine value of $$-\frac{1}{2}$$ Select TWO correct answers

Accepted Answer

$$210\degree$$

Accepted Answer

$$330\degree$$

Answer

$$30\degree$$

Answer

$$150\degree$$

Answer

$$240\degree$$

Question 40

Which two angles on the unit circle have a cosine value of $$\frac{\sqrt[]{2}}{2}\ ?$$ . Select TWO correct answers

Accepted Answer

$$45\degree$$

Accepted Answer

$$315\degree$$

Answer

$$135\degree$$

Answer

$$225\degree$$

Answer

$$330\degree$$

Question 41

Which two angles on the unit circle have a tangent value of $$\sqrt[]{3}\ \ \ ?$$ . Select ALL correct answers

Accepted Answer

$$60\degree$$

Accepted Answer

$$240\degree$$

Answer

$$30\degree$$

Answer

$$120\degree$$

Answer

$$300\degree$$

Level Unit 6 Review Mixed Practice

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