Question

Two poles stand on the opposite sides of a road, 10 m wide. The height of the two poles are 7m and 9m respectively. Estimate the distance between their tops, nearest to the whole number of meters.​

Answer 1

The responsible figure is attached with this answer.

We have to find CE.

Here, actually ABCD is a rectangle.

So AB = CD = 10 m

And AC = BD = 7 m

∴ DE = BE - BD = 9 - 7 = 2 m

Consider ΔCDE.

It's a right triangle.

∴ CE² = CD² + DE²

⇒ CE² = 10² + 2²

⇒ CE² = 100 + 4

⇒ CE² = 104

⇒ CE = √104

⇒ CE = 10.198                    OR                ⇒ CE = - 10.198 (not possible)

⇒ CE = 10 m

So the distance is approximately 10 m.

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