1)

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)

\(18\sqrt 3\)

Correct Option: B

18

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In fig, we have to calculate P + H

tan 30° = P/6√3, P = 6m

Also, sin 30° = P/H, we get H= 12m

thus, P + H = 18m

 

2)

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

3)

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

4)

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)

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

5)

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)

\(4\sqrt 3 \ m\)

6)

A ladder 10 m long rests against a vertical wall making an angle of 30° with the wall. How high up (in m) does it reach the wall from the ground? (Take \(\sqrt 3 = 1.73.\))

SSC CHSL 2021

A)

8.56

B)

8.65

C)

5.88

D)

5