JEE Main 2022 · 30 Jul · Shift 2 · Mathematics Q79

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MathematicsSingle correct+4 / -1Question 79 of 90

The angle of elevation of the top P of a vertical tower for a person standing at a point A on the horizontal ground due north of the tower is 45°. Another person B is standing 50 m west of A on the ground. If the angle of elevation of P at B is 30° then the height (in meters) of the tower is

25\sqrt2

50\sqrt2

25\sqrt6

\dfrac{50}{\sqrt3-1}

Answer and worked solution

Official answer: A

Distances. With tower height h, OA = h (45°). OB $=\sqrt{h^2+2500}=h\sqrt3$ (30°), so $2h^2=2500$ , $h=25\sqrt2$ m.

(A)

Topics:Heights and distances

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JEE Main 2022 · 30 Jul · Shift 2, Mathematics question 79