The value of x is : 1. 40 m 2. 30 m 3. 20 m 4. m

We know that, cos θ = From figure, In △ ABC, ⇒ cos 60° = ⇒ ⇒ x = = 20 m. Hence, Option 3 is the correct option.

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Mathematics

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We know that,

cos θ = $\dfrac{\text{Base}}{\text{Hypotenuse}}$

From figure,

In △ ABC,

⇒ cos 60° = $\dfrac{BC}{AB}$

⇒ $\dfrac{1}{2} = \dfrac{x}{40}$

⇒ x = $\dfrac{40}{2}$ = 20 m.

Hence, Option 3 is the correct option.

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