JEE Main 2022 Mathematics question

The angle of elevation of the top of a tower from a point A due north of it is and from a point B at a distance of 9 units due west of A is . If the distance of the point B from the tower is 15 units, then cot is equal to :

(1)6/5Correct
(2)9/5
(3)4/3
(4)7/3

Answer: (1)

Solution

Let O be the foot of the tower OP of height h. From B, cos gives tan , so h/OB = 2/3 with OB = 15, i.e. h =

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Question ID VK-035146