JEE Main 2022 Mathematics question
Let a vertical tower AB of height 2h stands on a horizontal ground. Let from a point P on the ground a man can see upto height h of the tower with an angle of elevation . When from P, he moves a distance d in the direction of , he can see the top B of the tower with an angle of elevation . if h, then tan is equal to
Answer: (3)
Solution
In triangle APM (M at height h on the tower), tan = h/x, where x = AP. When the man moves a distance away from the tower, tan = 2h/(x + ). Using x = h/tan : tan = 2/(1/tan tan $2α /(1 +
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