1) 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. *

Let ABC be the right-angled triangle formed by the pole and rope configuration as shown in figure

By using Pythagoras theorem in right △ABC

(AC)  

2

=8  

2

+6  

2

⇒AC  

2

=64+36

⇒AC=  

64+36

​  

⇒AC=  

100

​  

⇒AC=10m

Therefore, the length of the rope is 10m