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A 30 metres long ladder is placed against a wall 15 m high suc

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A $30$ metres long ladder is placed against a wall $15$ m high such that it just reaches the top of the wall. The angle made by the ladder with the horizontal is

3 0^{0}

4 5^{0}

6 0^{0}

9 0^{0}

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Scarlett Discussed

30

metres long ladder is placed against a wall

15

m high such that it just reaches the top of the wall. The angle made by the ladder with the horizontal is

12 mins ago

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Text solutionVerified

From figure, we have

\frac{A B}{BC} = sin θ

\Rightarrow \frac{15}{30} = sin θ

\Rightarrow \frac{1}{2} = sin θ

sin 3 0^{\circ} = \frac{1}{2}

Therefore,

θ = 3 0^{\circ}

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Question Text	A $30$ metres long ladder is placed against a wall $15$ m high such that it just reaches the top of the wall. The angle made by the ladder with the horizontal is
Answer Type	Text solution:1
Upvotes	150