A drone was used to facilitate movement of an ambulance on a straight highway to a point P on the ground where there was a accident. The ambulance was travelling at a speed of 60 km/h. The drone stopped at a point Q, 100 m vertically above the point P. The angle of depression of the ambulance was found to be 30° at a particular instant.
Based on the above information, answer the following questions:
(i) Represent the above situation with the help of a diagram. [1 Mark]
(ii) Find the distance between the ambulance and the site of accident (P) at the particular instant. (Use √3=1.73) [1 Mark]
(iii) (a) Find the time (in seconds) in which the angle of depression changes from 30° to 45°. [2 Marks]
OR
(iii) (b) How long (in seconds) will the ambulance take to reach point P from a point T on the highway such that angle of depression of the ambulance at T is 60° from the drone? [2 Marks]