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Arithmetic Aptitude :: Height and Distance

  1. 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. respectively. If the lighthouse is 100 m high, the distance between the two ships is:

  2. A.

    173 m

    B.

    200 m

    C.

    273 m

    D.

    300 m


  3. 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?

  4. A.

    43 units 

    B.

    8 units

    C.

    12 units

    D.

    Data inadequate

    E.

    None of these


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

  6. A.

    2.3 m

    B.

    4.6 m

    C.

    7.8 m

    D.

    9.2 m


  7. 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 height of the tower is:

  8. A.

    21.6 m

    B.

    23.2 m

    C.

    24.72 m

    D.

    None of these


  9. 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:

  10. A.

    149 m

    B.

    156 m

    C.

    173 m

    D.

    200 m


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

  12. A.

    30°

    B.
    45°
    C.

    60°

    D.

    90°