Question

Question 139

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, the height of a pole is 8 m
The 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
$\because$ AB = Height of the pole
BC = Distance between the bottom of the pole and a point on ground, where rope was tied
To find the length of the rope, we will use Pythagoras theorem, in right angled $\Delta ABC$
$\therefore (AC{)}^2=(AB{)}^2+(BC{)}^2\Rightarrow (x{)}^2=(8{)}^2+(6{)}^2\Rightarrow x^2=64+36\Rightarrow x^2=100\Rightarrow x=\sqrt{100}=10m$