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Mathematics

The length of AC is :

  1. 22 m

  2. 38 m

  3. 23 m

  4. 45 m

The length of AC is : Heights and Distances, Concise Mathematics Solutions ICSE Class 10.

Heights & Distances

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Answer

From figure,

BCDE is a rectangle.

∴ BC = DE = 8 m and BE = DC = 30 m.

We know that,

tan θ = PerpendicularBase\dfrac{\text{Perpendicular}}{\text{Base}}

From figure,

In △ ABE,

⇒ tan 45° = ABBE\dfrac{AB}{BE}

⇒ 1=AB301 = \dfrac{AB}{30}

⇒ AB = 30 m.

From figure,

AC = AB + BC = 30 + 8 = 38 m.

Hence, Option 2 is the correct option.

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