NCERT Solution Class X Mathematics Some Applications of Trigonometry Question 15 (Ex 9.1)

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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