A ladder is resting against a wall at a height of 50 m. Find the length (in m) of the ladder, if the angle of elevation with the ladder is 15anddeg;.a)100andradic;2(andradic;3 + 1)b)50andradic;2(andradic;3 andndash; 1)c)100andradic;3(V3 andndash; 1)d)50andradic;2(andradic;3 + 1)Correct answer is option 'D'. Can you explain this answer?

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A ladder is resting against a wall at a height of 50 m. Find the length (in m) of the ladder, if the angle of elevation with the ladder is 15°.

a)
100√2(√3 + 1)
b)
50√2(√3 – 1)
c)
100√3(V3 – 1)
d)
50√2(√3 + 1)

Correct answer is option 'D'. Can you explain this answer?

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A ladder is resting against a wall at a height of 50 m. Find the lengt...

Let length of the ladder be x m.
Given,
Height of the wall h = 50 m
In right angled △ABC,
⇒ sin15° = AB/AC
⇒ (√3 – 1) /2√2 = 50/x
⇒ x = {50/ (√3 – 1)} × 2√2 × [(√3 + 1) / (√3 + 1)]
⇒ x = 100 × √2(√3 + 1) / (3 – 1)
⇒ X = 50√2(√3 + 1)
∴ Length of the ladder is 50√2(√3 + 1) m.

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A ladder is resting against a wall at a height of 50 m. Find the length (in m) of the ladder, if the angle of elevation with the ladder is 15°.a)100√2(√3 + 1)b)50√2(√3 – 1)c)100√3(V3 – 1)d)50√2(√3 + 1)Correct answer is option 'D'. Can you explain this answer?

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