Bridge Cables: Angle, Span & Height (Modeling Quiz)

1) A bridge cable forms a 65° angle with the roadway. If the vertical tower is 120 m tall, what is the length of the cable (nearest meter)?

132 m

133 m

134 m

135 m

2) A cable is 150 m long and makes a 65° angle with the roadway. What is the horizontal distance from the tower to where the cable meets the roadway (nearest meter)?

58 m

60 m

63 m

68 m

3) If the cable length is 150 m and the angle to the ground is 65°, what is the approximate horizontal span supported?

63 m

127 m

150 m

68 m

4) A bridge tower is 95 m tall. The cable makes a 58° angle with the roadway. What is the horizontal span supported by the cable (nearest meter)?

45 m

48 m

52 m

56 m

5) A bridge tower is 200 m tall. The cable forms a 70° angle with the roadway. Find the length of the cable.

213 m

214 m

215 m

216 m

6) A cable makes a 60° angle with the ground and is 100 m long. What is the vertical height supported?

85 m

86 m

87 m

88 m

7) A 250 m cable makes an angle of 75° with the ground. What is the horizontal distance supported?

64 m

65 m

66 m

67 m

8) A bridge span is supported by a 180 m cable at a 50° angle. What is the vertical height supported?

137 m

138 m

139 m

140 m

9) If a cable has a length of 300 m and makes a 40° angle with the roadway, what is the vertical rise?

191 m

192 m

193 m

194 m

10) A cable of length 90 m supports a roadway at a 30° angle. Find the vertical height.

44 m

45 m

46 m

47 m

11) A cable is 175 m long and makes a 55° angle with the roadway. What is the horizontal distance it spans (nearest meter)?

100 m

105 m

109 m

112 m

12) A cable forms an angle of 15° with the roadway and is 50 m long. Find the horizontal span.

48 m

49 m

50 m

51 m

13) A 100 m cable supports a span at a 25° angle. What vertical height does it support?

42 m

43 m

44 m

45 m

14) A bridge tower is 60 m tall and the cable is 100 m long. What is the angle of elevation of the cable (nearest degree)?

32°

37°

45°

55°

15) A bridge deck is 80 m long. A cable attaches to the top of a 100 m tower. Find the angle of elevation of the cable (nearest degree).

52°

53°

54°

55°

16) A cable is 220 m long and makes a 68° angle with the roadway. What vertical height does it support (nearest meter)?

199 m

201 m

204 m

208 m

17) A cable of 200 m makes a 70° angle with the ground. What vertical height is supported?

187 m

188 m

189 m

190 m

18) A tower is 150 m tall. The cable length is 200 m. Find the angle of elevation (nearest degree).

48°

49°

50°

51°

19) A cable makes an angle of 45° with the roadway. The horizontal distance is 100 m. Find the length of the cable.

140 m

141 m

142 m

143 m

20) A bridge cable has length 120 m and vertical rise of 60 m. Find the angle with the roadway.

29°

30°

31°

32°

Bridge Cable Angles