The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60 deg. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30 deg. How much did she walk from her initial position?

The angle of elevation of the top of a hill at the foot of the tower is 60 deg and the angle of elevation of the top of the tower from the foot of the hill is 30 deg. If the tower is 50 m high, what is the height of the hill?

A

100 m

B

120 m

C

180 m

D

150 m

A (a 25 year old man) was B's (a 23 year old woman) neighbour. He fell in love with her and wanted to ask her to enter into a relationship with him. He sent her a number of text messages proclaiming his love for her. She did not respond to his overtures. On November 18, 2013, A went to B's house and told her that he was in love with her, and wanted to marry her. She told him that she was not interested and asked him to leave. A believed that B was only playing hard to get, and if he persisted, she would change her mind. On November 25, 2013, when B was returning home from her workplace, A met her again and proclaimed his love for her again. She again told him that she was not interested, and threatened to complain to the police. In spite of this, a week later, when B was leaving for work, she noticed that A was waiting outside her house, with a bouquet of flowers, and he tried to give her the flowers. B ignored him once again, and went to the police station to complain about A's acts. Under what Section of the Indian Penal Code should the police register the FIR (First Information Report)

A

Section 354A for the offence of sexual harassment

B

Section 354C for the offence of voyeurism

C

Section 3540 for the offence of stalking

D

Section 509

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to apoint B, the angle of elevation increases to 60°. The height of the tower in meters is

A

\u221a3

B

5\u221a3

C

10\u221a3

D

20\u221a3

Principle: A person has got a right to defend his life or that of any other person.
Factual Situation: Sonia was returning home from work at about 10:00 pm. The cab driver dropped her at the gate of her residence. Suddenly she heard a male voice telling her to hand over her purse and Mobile. She screamed to draw the attention of her driver but the driver did not hear her and drove away. When she looked back she saw a man pointing a dagger at her. She was about to hand over her purse to the man. Hearing her cries, her neighbour, Major Singh, a military officer, looked through his window and saw the scene. He took out his gun and shot the man dead, later identified as X.

A

Major Singh is liable for the death of X as there was no threat to his life or property

B

Major Singh is not liable for the death of X as he was trying to protect the life of his neighbour

C

Major Singh is liable for the death of X as he should not have shot X dead, but could have just threatened X

D

Major Singh is not liable for the death of X as a Military official may shoot any one who is a criminal

The angle of elevation of the top of a tower from a certain point is 30°. If the observed moves 20 m towards the tower, the angle of elevation the angle of elevation of top of the tower increases by 15°. The height of the tower is

A

17.3 m

B

21.9 m

C

27.3 m

D

30 m

On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top andbottom of the flagpole are 60° and 30° respectively . The height of the flagpole is

A

5\u221a3 m

B

6\u221a3 m

C

6\u221a2m

D

6\u221a5 m

A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite sideof Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?

A

90

B

45\u221a3

C

45(\u221a3+1)

D

45(\u221a3+2)

W, a married woman lived with her husband, along with a six month old baby, but her life was miserable as her husband frequently used to beat her. She wanted to go to her pursued but her husband threatened to beat her if she dares to do so. But one day when W was missing the husband perused her and found that she was going to her parents with the baby. When W turned around and found her husband running towards her, panic stricken she along with the baby jumped into a well. The baby died but she survived. She was prosecuted for the death of the baby. What offence if any has been committed by her?

A

Murder

B

No offence

C

Death by accident

D

Culpable homicide not amounting to murder

W, who had her small baby tied on her back, was proceeding towards her parental place who lived nearby. Since, her husband H, did not like her visits to her parental place prevented her from proceeding further and directed her to return her home and threatened her with dire consequences if she ventured to do so again. She felt very depressed and decided to jump into a well nearby. Unmindful of the presence of her child on her back, she jumped into the well. She survived but the child died. W is guilty of

A

Murder

B

Culpable homicide not amounting to murder as she cannot be attributed with intention to cause death or intention to cause bodily injury

C

Causing death by rash or negligent act

D

No offence as it is a case of accident or misfortune

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the heightof the tower is (√3=1.732)

A

45.46 m

B

45.64 m

C

54.64 m

D

54.46 m