Be vertical poles angles |TRIGONOMETRY | JEE - MAIN - 2022

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JEE MAIN 2022

28-6-2022 S1

Question

Let $A B$ and $P Q$ 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 $\frac{\pi}{8}$ 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 $\tan ^2 \theta$ is equal to

Select the correct option:

A

$\frac{3-2 \sqrt{2}}{2}$

B

$\frac{3+\sqrt{2}}{2}$

C

$\frac{3-2 \sqrt{2}}{4}$

D

$\frac{3-\sqrt{2}}{4}$

✓ Correct! Well done.

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Solution

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