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8.4 Trigonometry Gallery Walk

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A ladder is leaning against the side of a house and forms a 65° angle with the ground. The foot of the ladder is 8 feet from the house. Find the length of the ladder.

a)

3.38 ft

b)

7.25 ft

c)

8.83 ft

d)

18.93 ft

2.

In a parking garage, each level is 20 feet apart. Each ramp to a level is 130 feet long. Find the measure of elevation for each ramp.

a)

0.003o

b)

8.75o

c)

8.85o

d)

81.15o

3.

A train in the mountains rises 10 feet for every 250 feet it moves along the track. Find the angle of elevation of the track.

a)

0.0007o

b)

2.29o

c)

53.47o

d)

87.71o

4.

A plane rose from take-off and flew at an angle of 11° with the ground. When it reached an altitude of 500 feet, what was the horizontal distance the plane had flown?

a)

97 ft

b)

509 ft

c)

2572 ft

d)

2620 ft

5.
a)

a) 67o b)5√11

b)

a)1o b)7

c)

a)39o b)14

d)

a)52o b)18

6.

A ladder, 500 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder? Round the answer to the nearest tenth.

a)

272.3 cm

b)

419.3 cm

c)

769.9 cm

d)

918.0 cm

7.

A kite is flying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the angle, to the nearest degree, that the string makes with the ground.

a)

1o

b)

38o

c)

40o

d)

50o

8.

An observation tower is 75 m high. A support wire is attached to the tower 20 m from the top. If the support wire and the ground form an angle of 46 degrees, what is the length of the support wire, to the nearest tenth?

a)

76.5 m

b)

77.6 m

c)

79.2

d)

104.3

9.

At a point 30 feet from the base of a tree, the angle formed with the ground looking to the top measures 53o. Find, to the nearest foot, the height of the tree.

a)

23

b)

39

c)

40

d)

44

10.

Find the height of isosceles trapezoid ABCD as marked

a)

15.4

b)

19.7

c)

25.0

d)

40.6