Free Printable Classwork 10/23

1.

Journee is flying a kite at the park. The string holding the kite is 90 meters long. The distance from the hand holding the kite to the ground is 1 meter. How far is the kite from the ground to the nearest meter. (Hint: You have to take into consideration the 1 meter distance from the ground t0 Journee's hand)

a)

78 m

b)

79 m

c)

86 m

d)

69 m

2.

Solve for the missing angle.

a)

50

b)

0.053

c)

36.9

d)

95

3.

Solve for the missing distance.

a)

18.9

b)

19.5

c)

47

d)

27.5

4.

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

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

5.

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 closest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

6.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

7.

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 closest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

8.

A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun?

a)

62 degrees

b)

49 degrees

c)

28 degrees

d)

15 degrees

9.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

a)

11.1 ft.

b)

9 ft.

c)

7.4 ft.

d)

13.8 ft.

10.

Choose the correct ratio.

a)

$\sin\left(37\right)=\frac{x}{14}$

b)

$\cos(37)=\frac{x}{14}$

c)

$\tan(37)=\frac{x}{14}$

d)

$\sin(37)=\frac{14}{x}$

11.

Multi-step: What is the distance from the tree to the building, rounded to the nearest tenths place?

a)

8.6 ft

b)

18.6 ft

c)

16.7 ft

d)

10 ft

Classwork 10/23

Total questions: 11

Worksheet time: 33mins

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