Aptitude - Height and Distance

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  • General Questions
"If you judge people, you have no time to love them."
- Mother Teresa

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 and 45 respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A. 173 mB. 200 m
C. 273 mD. 300 m


A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30 with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60. What is the distance between the base of the tower and the point P?

A. 43 unitsB. 8 units
C. 12 unitsD. Data inadequate
E. None of these


The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

A. 2.3 mB. 4.6 m
C. 7.8 mD. 9.2 m


An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30. The heights of the tower is:

A. 21.6 mB. 23.2 m
C. 24.72 mD. None of these


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

A. 149 mB. 156 m
C. 173 mD. 200 m

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