A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. 6 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 the point where the angle of depression is 60°.
Q1. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. 6 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 the point where the angle of depression is 60°.
Answer: 3 seconds
Explanation: Using trigonometric ratios and uniform speed, time taken = 3 seconds.