Question

paight highway leads to the foot of a tower. A man standing at the top of the tower
arves a car at 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 1

tan 30=distance/height

1/√3

tan 60=1=√(3/3)

therefore speed travelled=(√3-1)/6

therefore time to reach tower =1/(√3-1)/6

6/√3-1 s