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A ladder is placed against a wall such that it just reaches the top of the wall. The foot of the ladder is at a distance of 5 metres from the wall. The angle of elevation of the top of the wall from the base of the ladder is 15°. What is the length (in metres) of the ladder?

A ladder is placed against a wall such that it just reaches the top of the wall. The foot of the ladder is at a distance of 5 metres from the wall. The angle of elevation of the top of the wall from the base of the ladder is 15°. What is the length (in metres) of the ladder? Correct Answer 5√6 - 5√2

⇒ BC = 5√2 (√3 - 1)

⇒ BC = 5√6 - 5√2

∴ Length of the ladder = (5√6 - 5√2) meter

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