Quantitative Aptitude

Page 42 of 48 • 475 total questions

Quantitative Aptitude • Height and Distance
4 marksView Details

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. What was the height of the tree?

A

8√3 m

B

16 m

C

8 m

D

24 m

Quantitative Aptitude • Height and Distance
3 marksView Details

The shadow of a building is 20 m long when the sun's altitude is 30°. What will be the length of the shadow when the sun's altitude becomes 60°?

A

20/3 m

B

20√3 m

C

20/√3 m

D

10 m

Quantitative Aptitude • Height and Distance
4 marksView Details

A vertical pole fixed to the ground is divided in the ratio 1:4 by a mark on it. If the two parts subtend equal angles at a point on the ground, how far is this point from the pole?

A

Twice the length of the shorter part

B

Equal to the total height

C

Equal to the shorter part

D

Half the total height

Quantitative Aptitude • Height and Distance
4 marksView Details

A man standing on the deck of a ship 10 m above water level observes the angle of elevation of the top of a hill as 60° and angle of depression of its base as 30°. What is the height of the hill?

A

40 m

B

30 m

C

50 m

D

60 m

Quantitative Aptitude • Height and Distance
5 marksView Details

The angle of elevation of a cloud from a point 60 m above a lake is 30° and the angle of depression of its reflection is 60°. What is the height of the cloud above the lake?

A

120 m

B

60 m

C

90 m

D

180 m

Quantitative Aptitude • Height and Distance
4 marksView Details

Two poles of equal heights are standing opposite each other on either side of a road 100 m wide. From a point between them, the angles of elevation are 30° and 60°. What is the height of each pole?

A

25√3 m

B

50√3 m

C

100√3 m

D

20√3 m

Quantitative Aptitude • Height and Distance
3 marksView Details

A pole 6 m high casts a shadow 2√3 m long on the ground. What is the sun's elevation?

A

60°

B

45°

C

30°

D

90°

Quantitative Aptitude • Height and Distance
4 marksView Details

A person observes the angle of elevation of the top of a tower to be 30°. Walking 40 m towards the tower, the angle becomes 60°. What is the height of the tower?

A

20√3 m

B

40√3 m

C

30√3 m

D

10√3 m

Quantitative Aptitude • Height and Distance
3 marksView Details

From the top of a 100 m high building, the angle of depression of a car on the road is 30°. How far is the car from the building?

A

100√3 m

B

100/√3 m

C

200 m

D

50√3 m

Quantitative Aptitude • Height and Distance
3 marksView Details

The angle of elevation of the top of a tower from a point 20 m away from its base is 45°. What is the height of the tower?

A

20 m

B

20√2 m

C

10 m

D

40 m

Page 42 of 48