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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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The angle of elevation of the top of a vertical tower from a point A\mathrm{A}, due east of it is 45∘45^{\circ}. The angle of elevation of the top of the same tower from a point BB, due south of AA is 30∘30^{\circ}. If the distance between AA and BB is 542 m54 \sqrt{2} \mathrm{~m}, then the height of the tower (in metres), is :
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Correct option: D
54
Option D (54) is correct because using trigonometric relationships and the given distances, the height of the tower is found to be 54 meters.

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