Year 10 Angles of Elevation and Depression

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The triangle ABC above shows the angle of elevation of the top, B,of a tower, BC, from A, to be 30°. AB = 40 m. The length of BC is

1 point

40 tan 30°

40 sin 60°

40 tan 60°

40 sin 30°

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An office building is 50 m high and the angle of elevation to the top of the building is 52° when seen from a point on level ground. The distance between the point and the foot of the building is

1 point

21.35 m

50 m

25 m

31.25 m

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If the height of a wind mill is 95 m and its shadow is 65 m then angle of elevation of the sun at that particular moment is

1 point

55.62 m

58.62 m

62.36 m

65.85 m

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A plane ascends at an angle of elevation of 40° angle. When it reaches an altitude of one hundred metres, how much ground distance has it covered?

1 point

64.3 m

76.6 m

80.1 m

119.2 m

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The angle of depression from the top of a cliff 140 m high to a boat at sea is 31°. The distance of the boat from the base of the cliff is closest to

1 point

84 m

72 m

272 m

233 m

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The angle of depression from a roof to a $50 note is 75°. If the roof is 12 m above the level of the $50 note, then the distance of the $50 note from the base of the building is closest to

1 point

12.42 m

11.59 m

3.22 m

44.78 m

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You stand 25 m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?

1 point

27.8 m

18.6 m

16.7 m

0.04 m

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Jim stands at the top of a cliff and looks down at an angle of 49° at a large rock which is 17 m away from the base of the cliff. How high is the cliff?

1 point

19.6 m

14.8 m

11.2 m

25.9 m

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Bill stands on a 20 m vertical cliff at point A. He spots a swimmer at C at an angle of depression of 35°, as shown in the diagram. How far is the swimmer from the base, B, of the cliff (correct to one decimal
place)?

1 point

11.5 m

14.0 m

16.4 m

28.6 m

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Building X is 30 m in height. The angle of elevation from the top of building X to the top of building Y is 35°. The distance between the two buildings is 25 m. What is the height of building Y to the nearest metre?

1 point

14 m

44 m

48 m

50 m

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An owl is 7 metres above ground level, in a tree. The owl sees a mouse on the ground at an angle of depression of 32°. How far must the owl fly in a straight line to catch the mouse, assuming the mouse does not move?

1 point

3.7 m

5.9 m

8.3 m

13.2 m

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