# An observer standing at a point P on the top of a hill near the sea-shore notices that the angle of depression of a ship moving towards the hill in a straight line at a constant speed is 300 . After 45 minutes , this angle becomes 450. If T (in minutes) is the total time taken by the ship to move to a point in the sea where the angle of depression from P of the ship is 600, then T is equal to : Option 1) Option 2) Option 3) Option 4)

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.

-

Time taken to travel between any points is proportional to distance covered.

Hence,

In

Similarly,

Similarly,

Now,

Thus,

Option 1)

This option is correct

Option 2)

This option is incorrect

Option 3)

This option is incorrect

Option 4)

This option is incorrect

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