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.

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Solution

Let AB be the tower.

Initial position of the car is C, which changes to D after six seconds.

In ΔADB,

In ΔABC,

Time taken by the car to travel distance DC= 6 seconds

Time taken by the car to travel distance DB

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Q. 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^{o}

, 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^{o}

. Find the time taken by the car to reach the foot of the tower from this point.

Question 15
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 $30^{\circ}$ , 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 $60^{\circ}$ . Find the time taken by the car to reach the foot of the tower from this point.

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Let AB be the tower. Initial position of the car is C, which changes to D after six seconds. In ΔADB, In ΔABC, Time taken by the car to travel distance DC= 6 seconds Time taken by the car to travel distance DB

Let AB be the tower.

Initial position of the car is C, which changes to D after six seconds.

In ΔADB,

In ΔABC,

Time taken by the car to travel distance DC= 6 seconds

Time taken by the car to travel distance DB