Question

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Answer 1

★ Correct Question:-

Two poles, 13 m and 18 m high stand upright on a playground. If their feet are 12 m apart, find the distance between the tops.

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★ Given:-

• Height of two poles = 13 m, 18 m
• Their feet = 12 m

★ To Find:-

The distance between their tops.

★ Solution:-

Let AB and CD be two poles of the height 13 m and 12 m and the distance between their feet, BD = 12 m. A || BD.

Then,

CE = DC - DB

= (DC - DE)

= (18 - 13) m = 5 m

In right angled ∆AEC,

AE = 12 m, CE = 5 m

By Pythagoras theorem,

AC² = AE² + CE²

⇒ AC² = (12² + 5²)

⇒ AC² = (144 + 25)

⇒ AC² = 169

⇒ AC² = (13)²

⇒ AC = 13

Hence, the distance between the tops of the poles = 13 m