Question 15:
A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car as an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point.
Answer:
Let AB be the tower.
Initial position of the car is C, which changes to D after six seconds.
In ΔADB,
Time taken by the car to travel distance DC
Time taken by the car to travel distance DB
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