A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 300. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 600. Then the time taken (in minutes) by him, from B to reach the pillar, is :
6
10
20
5
As we learnt in
Height and Distances -
The height or length of an object or the distance between two distant objects can be determined with the help of trigonometric ratios.
-
Let PQ represent pillar. Say height = h
In ,
In
Now, the person is walking at a uniform speed, hence time taken will be proportional to distance travelled.
Thus,
Hence, time required is 5 minutes.
Option 1)
6
This option is incorrect.
Option 2)
10
This option is incorrect.
Option 3)
20
This option is incorrect.
Option 4)
5
This option is correct.
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