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JEE Main 2022 Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Main 2022

A tower PQ stands on a horizontal ground with base Q on the ground. The point R divides the tower in two parts such that QR = 15 m. If from a point A on the ground the angle of elevating of R is 60° and the part PR of the tower subtends an angle of 15° at, A, then the height of the tower is :

Answer: (1)

Solution

Let PR = x. From the right triangle AQR, 15/AQ = tan60°. The angle of elevation of P is 60° + 15° = 75°, so (15 + x)/AQ = tan75°.

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Question ID VK-024822