Free Printable Pythagorean Theore & Trig

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Pythagorean Theore & Trig - Finding Sides

Total questions: 42

Worksheet time: 4hrs 30mins

Name

Class

Date

Find the length of the missing side.

17 cm

22 cm

15 cm

13 cm

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

Find the length of the missing side.

20 in.

68 in.

16 in.

80 in.

Find the length of the missing side.

48 in.

52 in.

16 in.

24 in.

_{^{Find the missing side}}

108

83.6

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

111.8 yards

115 yards

127.3 yards

119 yards

Find h

35.60

35.00

35.71

61.03

A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is the distance? Round your answer to the nearest whole number.

30 meters

83 meters

164 meters

260 meters

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

9ft

11ft

6ft

14ft

10.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

26.5 yards

10 yards

50 yards

46.7 yards

11.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

25 feet

26 feet

27 feet

28 feet

12.

What is the length of the rectangular plot of land?

192 ft

409.8 ft

36,864 ft

8 ft

13.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

12 feet

13.9 feet

14.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

8 feet

5.29 feet

10 feet

14 feet

15.

If a 25-foot ladder leans against a building and the foot of the ladder is 7 feet from the base of the building, how far up the building does the ladder reach?

576 ft

24 ft

4.2 ft

18 ft

16.

A 40-foot pole has a wire from the top to a point 9 feet from the base. How long is the wire?

1519 ft

31 ft

1681 ft

41 ft

17.

What equation can be used to solve for x?

Sin(40°)= x/40

Sin(40º)=x/19

Cos(40º)=x/19

Tan(40°)=19/x

18.

Find x round to the nearest tenth.

46.1

4.9

16.4

26.9

19.

Solve for the misssing distance

18.9

19.5

27.5

20.

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

63 ft

65 ft

74 ft

87 ft

21.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

25 feet

45 feet

110 feet

135 feet

22.

Find the measurement of the missing side indicated

4.39

3.21

2.19

2.05

23.

Choose the correct ratio.

cos(33^o)=x/14

sin(33^o)=x/14

cos(33^o)=14/x

sin(33^o)=14/x

24.

Solve for x. Round to the nearest tenth.

7.5

34.1

14.1

30.1

25.

Find the length of side w.

21.4 cm

18.0 cm

36.5 cm

43.6 cm

26.

If you are given the opposite side and hypotenuse, which trig function should you use?

sine

cosine

tangent

cotangent

27.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

sine

cosine

tangent

cotangent

28.

What is the length of side x?

6.57 cm

7 cm

7.44 cm

26.33 cm

29.

What is the missing side?

19.4

35.4

7.4

26.4

30.

What is the missing side?

20.8

19.2

23.0

17.4

31.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

19 degrees

45 degrees

71 degrees

(THIS IS THE ANSWER, YOU HAVEN'T LEARNED THIS YET...SORRY)

138 degrees

32.

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

12.4 ft

11.3 ft

22.3 ft

49.1 ft

33.

Match the trig function with the correct ratio

Cosecant

Cotangent

Sine

Cosine

Tangent

Secant

34.

What side is ADJACENT to angle C?

35.

What is the hypotenuse?

(a)

36.

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?

5.3 feet

2.8 feet

3.2 feet

11.3 feet

37.

Which trigonometric function would you use to find "h", the height of the tree?

sine

cosine

tangent

none of these

38.

Makayla leans a 18-foot ladder against a wall so that it forms an angle of 64^∘

with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

7.9

16.2

36.9

39.

Find side AB?

20 m

5 m

11.54 m

8.66 m

40.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position? Round your answer to the nearest whole mile.

15 miles

38 miles

17 miles

20 miles

41.

Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree?

(Round to the nearest tenth. Only the number, no units)

(a)

42.

Tamika leans a 30-foot ladder against a wall so that it forms an angle of 65^∘

with the ground. Set up the ratio that tells you how high up the wall does the ladder reach.

$\tan\left(65\right)=\frac{x}{30}$

$\cos\left(65\right)=\frac{x}{30}$

$\sin\left(65\right)=\frac{x}{30}$

$\sin\left(65\right)=\frac{30}{x}$

100 %

Pythagorean Theore & Trig - Finding Sides

Total questions: 42

Worksheet time: 4hrs 30mins

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