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Trigonometric Functions: JEE Mains 2022, June 28 - Shift 1

Hard· Heights and distances· +4 / −1

Two vertical poles

AB

(of height

2h

) and

PQ

(of height

h

) stand on level ground with

B

and

Q

at their feet,

160\ \text{m}

apart. A point

O

on

BQ

is

80\ \text{m}

from each pole. The angle of elevation of

P

(the top of the pole

PQ

) from

O

is

\dfrac\pi8

and the angle of elevation of

A

(the top of the pole

AB

) from

O

is

\theta

. Find

\tan^2\theta

.

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