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Mathematics

The value of x is :

  1. 40 m

  2. 30 m

  3. 20 m

  4. 40340\sqrt{3} m

The value of x is : Heights and Distances, Concise Mathematics Solutions ICSE Class 10.

Heights & Distances

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Answer

We know that,

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

From figure,

The value of x is : Heights and Distances, Concise Mathematics Solutions ICSE Class 10.

In △ ABC,

⇒ cos 60° = BCAB\dfrac{BC}{AB}

⇒ 12=x40\dfrac{1}{2} = \dfrac{x}{40}

⇒ x = 402\dfrac{40}{2} = 20 m.

Hence, Option 3 is the correct option.

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