Question # 1

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

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10 m

15 m

20 m

None of these

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

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25m

23m

12m

29m

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

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In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

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5.47m

2m

7m

6.29m

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A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is

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In-radius is denoted by

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r

η

r2

R

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

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A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

A circle drawn inside a triangle and touching its sides is called

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In-circle

Circum circle

Escribed circle

None of these

A circle drawn inside a triangle and touching its sides is called ______;

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Circumcirle

Incircle

Escribed circle

unit circle

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

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116 m

200 m

216 m

None of these

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

A circle passing through the vertices of any triangle is called ______

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In circle

Circum circle

Escribed circle

None of these

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

The law of tangents is ______

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The law of sines

The law of consines

The law of tangents

None of these

E-radius corresponding to < A is

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The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

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20 m

40 m

60 m

80 m

For any equilateral r :R :η :r1 :r2 :r3 =

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1:2:3:4:5

1:2:3:3:3

1:2:4:4:4

2:1 :2 :2 :2

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The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is