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Solution for A ladder against a vertical wall makes an angle of 45º with the ground. The foot of the ladder is 3m from the wall. Find the length of the ladder - CBSE Class 10 - Mathematics

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Question

A ladder against a vertical wall makes an angle of 45º with the ground. The foot of the ladder is 3m from the wall. Find the length of the ladder

Solution

Let AB be the wall and CB, the ladder.

Then, AC = 3m and ∠ACB = 45º

`\text{Now, }\frac{CB}{AC}=\sec \text{45}^\text{o}=\sqrt{2}\Rightarrow \frac{CB}{3}=\sqrt{2}`

∴ Length of the ladder = CB = 3 √2

= (3 × 1.41) m = 4.23 m

  Is there an error in this question or solution?
Solution A ladder against a vertical wall makes an angle of 45º with the ground. The foot of the ladder is 3m from the wall. Find the length of the ladder Concept: Heights and Distances.
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