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An observer on the top of a tree ,finds ...

An observer on the top of a tree ,finds the angle of depression of a car moving towards the tree to be `30^@` .After 3 minutes this angle becomes `60 ^@`.After how much more time , the car will reach the tree ?

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To solve the problem, we will use the concepts of trigonometry, specifically the tangent function, which relates the angles of depression to the heights and distances involved. ### Step-by-Step Solution: 1. **Understanding the Problem**: - Let the height of the tree be \( h \). - Let the initial distance of the car from the base of the tree when the angle of depression is \( 30^\circ \) be \( d_1 \). - After 3 minutes, the angle of depression changes to \( 60^\circ \), and let the new distance be \( d_2 \). ...
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