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##### objective Ques (82 results)
1)

Seema flies a kite on a 16 m string at an inclination of 60 degree. What is the height of the kite above the ground?

SSC CGL 2020
A)

$${4 \sqrt3} m$$

B)

$${16 \sqrt3} m$$

C)

$${6 \sqrt3} m$$

D)

$${8 \sqrt3} m$$

2)

From the top of a tower, the angles of depression of two objects on the ground on the same side of it, are observed to be $$60^\circ and 30^\circ$$ respectively and the distance between the objects is $$400 \sqrt3$$ metre. The height (in metre) of the tower is:

SSC CGL 2019
A)

800

B)

$$800\sqrt3$$

C)

600

D)

$$600\sqrt3$$

3)

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are $$60^0$$ and $$30^0$$, respectively and the distance between them is $$84\sqrt3$$m. What is the height (in m) of the pole?

SSC CGL 2019
A)

63

B)

73.5

C)

52.5

D)

60

4)

From a point exactly midway between the foot of two towers P and Q,the angles of elevation of their tops are $$30^0$$and $$60^0$$, respectively. The ratio of the height of P to that of Q is:

SSC CGL 2019
A)

1 : 3

B)

1 : 2

C)

$$1:2\sqrt3$$

D)

$$2 : 3\sqrt3$$

5)

The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is

SSC CGL 2016
A)

3 m

B)

9 m

C)

27 m

D)

30 m

6)

A straight vertical pole was broken during a cyclone in such a way that its top touched the ground at a distance of  $$6\sqrt 3$$  m from the bottom of the pole and made and angle of 30° with the horizontal. What was the height (in m) of the pole?

SSC CHSL 2021
A)

12

B)

18

C)

$$12\sqrt 3$$

D)

$$18\sqrt 3$$

7)

A kite is flying at a height of 138 m above the ground. It is attached to a string inclined at 45° to the horizontal. What is the approximate length (in m) of the string?

SSC CHSL 2021
A)

193

B)

194

C)

190

D)

195

8)

The string of a kite is 158 m long and it makes an angle of 30° with the horizontal. What is the height (in m) of the kite ?
Assume there is no slack in the string.

SSC CHSL 2021
A)

99

B)

79

C)

100

D)

80

9)

As observed from the top of a lighthouse, 42 m high above sea-level, the angle of depression of a ship sailing directly towards it changes from 30° to 45°. The distance travelled by the ship during the period of observation is:

SSC CHSL 2021
A)

$$42(\sqrt 3 - 1)$$

B)

$$42(\sqrt 3 + 1)$$

C)

42

D)

$$42(1 - \sqrt 3 )$$

10)

The angle of elevation of a ladder against a wall is 45°. The length of the ladder is 12 m. What is the distance between the wall and the foot of the ladder?

SSC CHSL 2021
A)

$$6\sqrt 2 \ m$$

B)

$$3\sqrt 2 \ m$$

C)

$$5\sqrt 3 \ m$$

D)

$$4\sqrt 3 \ m$$

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