Height and Distance

Quantitative Aptitude

Page 2 of 3 • 30 total questions

Quantitative Aptitude • Height and Distance
3 marksView Details

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, what is the distance of point P from the foot of the tower?

A

100√3 m

B

100/√3 m

C

100 m

D

200 m

Quantitative Aptitude • Height and Distance
3 marksView Details

A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60° to the horizontal. What is the height of the balloon above the ground?

A

100√3 m

B

200√3 m

C

100 m

D

200 m

Quantitative Aptitude • Height and Distance
4 marksView Details

From the top of a cliff 200 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. What is the height of the tower?

A

400/3 m

B

200√3 m

C

200 m

D

100√3 m

Quantitative Aptitude • Height and Distance
4 marksView Details

The angle of elevation of a tower from a point is 30°. After walking 100 m towards the tower, the angle becomes 60°. What is the height of the tower?

A

50√3 m

B

100√3 m

C

100/√3 m

D

150√3 m

Quantitative Aptitude • Height and Distance
4 marksView Details

The angles of elevation of the top of a tower from two points at distances a and b from the base are complementary. What is the height of the tower?

A

√(ab)

B

ab

C

a + b

D

a/b

Quantitative Aptitude • Height and Distance
4 marksView Details

The angle of elevation of the top of a building from a point on the ground is 45°. After moving 20 m towards the building, the angle becomes 60°. What is the height of the building?

A

10(3 + √3) m

B

20√3 m

C

30 m

D

40 m

Quantitative Aptitude • Height and Distance
4 marksView Details

A man standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle to be 30°. What is the width of the river?

A

20 m

B

40 m

C

20√3 m

D

40√3 m

Quantitative Aptitude • Height and Distance
4 marksView Details

A flagstaff stands on the top of a building. At a distance of 40 m from the building, the angles of elevation of the top of the flagstaff and the building are 60° and 45° respectively. What is the height of the flagstaff?

A

40(√3 - 1) m

B

40√3 m

C

40 m

D

20(√3 - 1) m

Quantitative Aptitude • Height and Distance
4 marksView Details

From the top of a lighthouse 100 m high, the angles of depression of two ships are 45° and 30°. If the ships are on the same side of the lighthouse, what is the distance between them?

A

100(√3 - 1) m

B

100√3 m

C

100 m

D

200 m

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

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