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 … and … 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… is equal to

Height and Distance

JEE Main 2022 · 28 Jun, Morning shift · Q3929

MathematicsMedium38×since 2004Q3929

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 · 28 Jun, Morning shift · Q3929

MathematicsMedium38×since 2004Q3929

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