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An observer standing at a point P on the...

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 `30^(@)`. After 45 minutes, this angle becomes `45^(@)`. 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 `60^(@)`, then T is equal to

A

`45(1+(1)/(sqrt(3)))`

B

`45 (1+sqrt(3))`

C

`45(1+(2)/(sqrt(3)))`

D

`45(2+(1)/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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