Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let (π)/8 and θ be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan² θ is equal to

Height and Distance: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Morning shift · Q3929

JEE Main 202228 Jun, Morning shiftMathematicsMediumHeight and Distance38× since 2004

Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let

{\pi \over 8}

and

\theta

be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan²

\theta

is equal to

JEE Main 2022 Height and Distance Question with Solution (28 Jun Morning shift, Q3929) | JEE Arc

JEE Main 2022 · 28 Jun, Morning shift · Q3929

JEE Main 202228 Jun, Morning shiftMathematicsMediumHeight and Distance38× since 2004

Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let

{\pi \over 8}

and

\theta

be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan²

\theta

is equal to