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The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the pole - Mathematics

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Sum

The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the pole

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Solution

Let AB and CD be the poles such that

AB = 80 m and CD = 62.5 m.

Draw DE ⊥ AB. Then, ∠EDB = 45º

Now, BE = AB – AE = AB – CD = 17.5

`\frac{DE}{BE}=\text{cot }45^\text{o}=1`

⇒ DE = BE = 17.5 m

Concept: Heights and Distances
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