JEE Main 2016 Mathematics question

MathematicsSolution of TrianglesJEE Main 2016

Not in JEE syllabus

The angle of elevation of the top of a vertical tower from a point A, due east of it is . The angle of elevation of the top of the same tower from a point B, due south of A is . If the distance between A and B is , then the height of the tower (in meters), is:

Answer: (4)

Solution

Let the tower have height and foot . From A, the elevation is , so . From B, the elevation is , so . Now use the geometry on the ground: A is due **east** of the tower and B is due **south**

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Question ID VK-115660