Aptitude:: Height and Distance

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The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:

A. 30ο B. 45ο
C. 60ο D. 90ο

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

A. 149 m B. 156 m
C. 173 m D. 200 m

An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30ο. The heights of the tower is:

A. 21.6 m B. 23.2 m
C. 24.72 m D. None of these

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

A. 2.3 m B. 4.6 m
C. 7.8 m D. 9.2 m

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

A. 4√3 units B. 8 units
C. 12 units D. Data inadequate
E. None of these    

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