What is the distance of the observer from the car when it makes an angle of 60°?

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Solution

Q.
Rohit is standing at the top of a building and observes a car at an angle of depression of $30 degree$ as it approaches the base of the building at a uniform speed. 6 seconds later, the angle of depression increases to $60 degree$ , and at that moment, the car is 25 m away from the building.

Based on the above information, answer the following questions:

(iii) (b) What is the distance of the observer from the car when it makes an angle of $60 °$

1 $40 m$

2 $10 m$

3 $50 m$

4 $60 m$

Ans.
(3)

$I n ∆ A B C : c o s 60 ° = \frac{B C}{A C} \frac{1}{2} = \frac{25}{A C} A C = 50 m Hence, Distance of the observer from the car = 50 m$

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