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# CoCubes Trigonometry Questions and Answers Quiz-1

Question 1

Time: 00:00:00
If a ladder is 100 m long and the distance between the bottom of the ladder and wall is 60 m. What is the maximum size of the cube that can be placed between the ladder and the wall?

24

24

35

35

21

21

28

28

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Question 2

Time: 00:00:00
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

4√3 units

4√3 units

8 units

8 units

12 units

12 units

None of these

None of these

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Question 3

Time: 00:00:00
An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The heights of the tower are:

21.6 m

21.6 m

23.2 m

23.2 m

24.72 m

24.72 m

None of these

None of these

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Question 4

Time: 00:00:00
The angle of elevation of the sun, when the length of the shadow of a tree is 3 times the height of the tree, is:

30°

30°

60°

60°

45°

45°

90°

90°

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Question 5

Time: 00:00:00
From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is

149 m

149 m

156 m

156 m

173 m

173 m

200 m

200 m

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Question 6

Time: 00:00:00
Find the Value of tan60o + tan120o?

1/2

1/2

Zero

Zero

2

2

2/3

2/3

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Question 7

Time: 00:00:00
If tan x = $\frac{5}{12}$, then the value of cos 2x is:

$\frac{111}{169}$

$\frac{111}{169}$

$\frac{\sqrt{119}}{12}$

$\frac{\sqrt{119}}{12}$

$\frac{119}{169}$

$\frac{119}{169}$

$\frac{13}{12}$

$\frac{13}{12}$

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Question 8

Time: 00:00:00
The least value of 2sin2θ + 3cos2θ

1/3

1/3

4/3

4/3

2

2

3/4

3/4

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Question 9

Time: 00:00:00
If tan (x+y) tan (x-y) = 1, then find tan (2x/3)?

2/√3

2/√3

1/2

1/2

1/√2

1/√2

1/√3

1/√3

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Question 10

Time: 00:00:00
A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?

32 kmph

32 kmph

36 kmph

36 kmph

40 kmph

40 kmph

44 kmph

44 kmph

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