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Arithmetic Aptitude :: Height and Distance

  1. The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ?

  2. A.
    60°
    B.
    30°
    C.
    45°
    D.
    any acute angle

  3. A kite is flown with a thread of length 200 meter. The thread is fully stretched and makes an angle of 60° with the horizontal, find the height of the kite above the ground.

  4. A.
    173 m
    B.
    100 m
    C.
    346 m
    D.
    141 m

  5. The top and bottom of a flag on a building subtend angles of 60° and 30° respectively at a point B which is 48 meter away from the building. Find the height of the flag?

  6. A.
    32 m
    B.
    32 √3 m
    C.
    18.49 m
    D.
    16 m

  7. From the top of a lighthouse which is 90 m above the sea, the angle of depression of a ship is 60°. How far is the ship from the lighthouse?

  8. A.
    30 √3 m
    B.
    30 m
    C.
    17.34 m
    D.
    20.5 m

  9. The angles of elevation of the top of a tower from the top and bottom of a tree of height 15 m are 30° and 60° respectively. Find the height of the tower?

  10. A.
    7.5 m
    B.
    22.5 m
    C.
    11.5 m
    D.
    20 m

  11. The distance between the tops of two trees is 16 m. If the heights of the trees are 20 m and 28 m respectively, find the horizontal distance between the two trees?

  12. A.
    192 m
    B.
    √192 m
    C.
    256 m
    D.
    √256 m

  13. There are two towers. The first tower of height 60 m casts a shadow of length 100m. At the same time if the second tower casts a shadow of length 140 m, find its height?

  14. A.
    80 m
    B.
    84 m
    C.
    88 m
    D.
    90 m