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Question
Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
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Solution
Given, height of a pole is 8 m.
Distance between the bottom of the pole and a point on the ground is 6 m.
On the basis of given information, we can draw the following figure:
Let the length of the rope be x m
∵ AB = Height of the pole
BC = Distance between the bottom of the pole and a point on the ground, where the rope was tied .
To find the length of the rope, we will use Pythagoras theorem, in right-angled ΔABC
∴ (AC)2 = (AB)2 + (BC)2
⇒ (x)2 = (8)2 + (6)2
⇒ x2 = 64 + 36
⇒ x2 = 100
⇒ x = `sqrt(100)` = 10 m
Hence, the length of the rope is 10 m.
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