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.

Answer 1

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.