Free Printable 6 Weeks Review

1.

Find tan(A). Simplify the ratio if possible.

a)

$\tan\left(A\right)=\frac{5}{13}$

b)

$\tan\left(A\right)=\frac{12}{5}$

c)

$\tan\left(A\right)=\frac{13}{12}$

d)

$\tan\left(A\right)=\frac{5}{12}$

2.

Find cos(C). Simplify the ratio if possible.

a)

$\cos\left(C\right)=\frac{5}{13}$

b)

$\cos\left(C\right)=\frac{12}{13}$

c)

$\cos\left(C\right)=\frac{12}{5}$

d)

$\cos\left(C\right)=\frac{13}{5}$

3.

If WX = 15, find sin(X). Simplify the ratio if possible.

a)

$\sin\left(X\right)=\frac{9}{15}$

b)

$\sin\left(X\right)=\frac{4}{5}$

c)

$\sin\left(X\right)=\frac{3}{5}$

d)

$\sin\left(X\right)=\frac{5}{4}$

4.

If WX = 15, find tan(W). Simplify the ratio if possible.

a)

$\tan\left(W\right)=\frac{12}{9}$

b)

$\tan\left(W\right)=\frac{4}{3}$

c)

$\tan\left(W\right)=\frac{4}{5}$

d)

$\tan\left(W\right)=\frac{3}{5}$

5.

If KM = 30, find cos(L). Simplify the ratio if possible.

a)

$\cos\left(L\right)=\frac{15}{17}$

b)

$\cos\left(L\right)=\frac{30}{16}$

c)

$\cos\left(L\right)=\frac{8}{17}$

d)

$\cos\left(L\right)=\frac{8}{15}$

6.

If KM = 30, find sin(L). Simplify the ratio if possible.

a)

$\sin\left(L\right)=\frac{15}{17}$

b)

$\sin\left(L\right)=\frac{8}{17}$

c)

$\sin\left(L\right)=\frac{16}{34}$

d)

$\sin\left(L\right)=\frac{17}{15}$

7.

Use trigonometry to find the missing side.

a)

$x=9.3$

b)

$x=62.8$

c)

$x=9.8$

d)

$x=4.8$

8.

Use trigonometry to find the missing side.

a)

$x=18.9$

b)

$x=12.6$

c)

$x=11.4$

d)

$x=14.7$

9.

Use trigonometry to find the missing side.

a)

$x=68.3$

b)

$x=11.3$

c)

$x=32.5$

d)

$x=26.7$

10.

Use trigonometry to find the missing side.

a)

$x=24.8$

b)

$x=13.7$

c)

$x=21.6$

d)

$x=5.8$

11.

Use trigonometry to find the missing side.

a)

$x=10.2$

b)

$x=38.5$

c)

$x=35.6$

d)

$x=12.8$

12.

Use trigonometry to find the missing side.

a)

$x=35.2$

b)

$x=11.7$

c)

$x=25.9$

d)

$x=13.7$

13.

Use trigonometry to find the missing side.

a)

$x=18.5$

b)

$x=11.7$

c)

$x=9.4$

d)

$x=13.7$

14.

Use trigonometry to find the missing side.

a)

$x=79.8$

b)

$x=60.1$

c)

$x=63.7$

d)

$x=38.3$

15.

Use trigonometry to find the missing side.

a)

$x=8.2$

b)

$x=4.0$

c)

$x=3.7$

d)

$x=3.8$

16.

Use trigonometry to find the missing angle.

a)

$x=58.0\degree$

b)

$x=32.0\degree$

c)

$x=51.3\degree$

d)

$x=38.7\degree$

17.

Use trigonometry to find the missing angle.

a)

$x=46.7\degree$

b)

$x=43.3\degree$

c)

$x=36.0\degree$

d)

$x=54.0\degree$

18.

Use trigonometry to find the missing angle.

a)

$x=38.5\degree$

b)

$x=51.5\degree$

c)

$x=38.0\degree$

d)

$x=52.0\degree$

19.

Use trigonometry to find the missing angle.

a)

$x=35.5\degree$

b)

$x=44.4\degree$

c)

$x=45.6\degree$

d)

$x=54.5\degree$

20.

Use trigonometry to find the missing angle.

a)

$x=61.6\degree$

b)

$x=28.4\degree$

c)

$x=32.7\degree$

d)

$x=57.3\degree$

21.

Use trigonometry to find the missing angle.

a)

$x=12.7\degree$

b)

$x=44.3\degree$

c)

$x=77.3\degree$

d)

$x=45.7\degree$

22.

True or false, inverse trigonometric functions are used to find missing sides of right triangles.

a)

True

b)

False

23.

True or false, inverse trigonometric functions are used to find missing angles of right triangles.

a)

True

b)

False

24.

When using the sine function, the ratio is . . .

a)

$\frac{opposite}{adjacent}$

b)

$\frac{adjacent}{hypotenuse}$

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{hypotenuse}{opposite}$

25.

When using the cosine function, the ratio is . . .

a)

$\frac{hypotenuse}{adjacent}$

b)

$\frac{opposite}{adjacent}$

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{adjacent}{hypotenuse}$

26.

When using the tangent function, the ratio is . . .

a)

$\frac{opposite}{adjacent}$

b)

$\frac{adacent}{opposite}$

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{adjacent}{hypotenuse}$

27.

Draw a picture, then use trigonometry to solve. The angle of elevation from a kicker's foot on the football field to the top of the goal post bars is $17\degree.$ If he is standing 131 feet from the base of the goal post, how tall is the goal post?

a)

40.1 feet

b)

38.3 feet

c)

19.6 feet

d)

125.3 feet

28.

Draw a picture and use trig to solve. Leah's mom is standing at the bottom of the slide at the playground, waiting for Leah to slide down. If the angle of elevation from the bottom of the slide to the top is $46\degree,$ and the slide has a vertical height of 9 feet, find the length of the slide.

a)

13 feet

b)

9.3 feet

c)

12.5 feet

d)

8.7 feet

29.

Draw a picture and use trig to solve. A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of elevation from the dog to the cat?

a)

$71.8\degree$

b)

$67.5\degree$

c)

$82.4\degree$

d)

$72.6\degree$

30.

Draw a picture and use trig to solve. A helicopter pilot spots a landing pad below. If the angle of depression is $73\degree$ and the horizontal distance to the pad is 1200 feet, what is the altitude of the helicopter?

a)

366.9 feet

b)

350.8 feet

c)

1147.6 feet

d)

3925 feet

31.

Draw a picture and use trig to solve. Building A is 480 feet tall, and Building B is 654 feet tall. If the angle of depression from Building B to Building A is $42\degree,$ how far apart are the buildings?

a)

156.7 feet

b)

193.2 feet

c)

260 feet

d)

234.1 feet

32.

Draw a picture and use trig to solve. Zack is standing at the top of a lookout tower and sees a water fountain below. If the lookout tower is 75 feet tall and the angle of depression is $28\degree,$ what is the horizontal distance between Zack and the water fountain?

a)

84.9 feet

b)

141.1 feet

c)

104.5 feet

d)

159.8 feet

33.

Find the area of the shaded sector.

a)

$415.39\ ft^2$

b)

$103.85\ ft^2$

c)

$1256.64\ ft^2$

d)

$635.72\ ft^2$

34.

Find the area of the shaded sector.

a)

$633.47\ m^2$

b)

$480.38\ m^2$

c)

$153.09\ m^2$

d)

$372.82\ m^2$

35.

Find the area of the shaded sector.

a)

$9.46\ in^2$

b)

$21.28\ in^2$

c)

$24.63\ in^2$

d)

$3.35\ in^2$

36.

Find the combined area of the shaded sectors.

a)

$26.47\ km^2$

b)

$88.25\ km^2$

c)

$35.30\ km^2$

d)

$52.95\ km^2$

37.

Find the combined area of the shaded sectors.

a)

$530.93\ m^2$

b)

$315.61\ m^2$

c)

$215.32\ m^2$

d)

$2123.72\ m^2$

38.

Find the area of the shaded sector.

a)

$2102.13\ mm^2$

b)

$2307.22\ mm^2$

c)

$1854.67\ mm^2$

d)

$2007.52\ mm^2$

39.

Find the area of the shaded sector.

a)

$132.73\ cm^2$

b)

$36.82\ cm^2$

c)

$74.39\ cm^2$

d)

$8.48\ cm^2$

40.

Find the area of the shaded sector.

a)

$380.13\ in^2$

b)

$270.32\ in^2$

c)

$67.58\ in^2$

d)

$113.57\ in^2$

6 Weeks Review

Total questions: 40

Worksheet time: 20mins

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