Assertion :If the length of shadow of a vertical pole is equal to its height, then the angle of elevation of the sun is $45^{o}$ . Reason: According to Pythagoras theorem, $h^{2} = l^{2} + b^{2}$ , $w h e r e h = h y p o t e n u s e, l = l e n g t h a n d b = b a s e .$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

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Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.

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Assertion is correct, but Reason is incorrect.

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Assertion is incorrect, but Reason is correct.

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Solution

The correct option is B Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.
$L e t h e i g h t o f t h e p o l e b e h m . T h e n, l e n g t h o f s h a d o w o f t h e p o l e = h m N o w, I n △ A B C, tan θ^{\circ} = \frac{A B}{B C} = \frac{A B}{A B} = 1 θ^{\circ} = 45$

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