A ladder of length $16$ units is resting against a wall of height $8$ units. The angle made by the leg of the ladder with the ground is

$60^{\circ}$

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$30^{\circ}$

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$45^{\circ}$

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$90^{\circ}$

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Solution

The correct option is B
$30^{\circ}$

From the figure:

$sin θ = \frac{A B}{A C} = \frac{8}{16} \Rightarrow sin θ = \frac{1}{2} \Rightarrow θ = 30^{\circ}$

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A ladder of length 16 units is resting against a wall of height 8 units. The angle made by the leg of the ladder with the ground is

The correct option is B 30∘ From the figure: sinθ=ABAC=816⇒sinθ=12⇒θ=30∘

A ladder of length $16$ units is resting against a wall of height $8$ units. The angle made by the leg of the ladder with the ground is

The correct option is B
$30^{\circ}$

From the figure:

$sin θ = \frac{A B}{A C} = \frac{8}{16} \Rightarrow sin θ = \frac{1}{2} \Rightarrow θ = 30^{\circ}$