Question

Height of a pole is 24 m, find the length of the rope tied with its top from a
point on the ground at a distance of 10 m from the bottom.

Answer 1

height=24m

base = 10m

h²=p²+b²

h =√p²+b²

h=√24²+10²

h=√676

h=26

length of rope 26m by pythagoras

Answer 2

Given:-

• Height of pole = 24 m
• Distance of rope tied on the ground from its foot = 10 m

To find:-

• The length of rope.

Note:-

• Refer to the attachment for a clear view of explanation.

Solution:-

We can see that in this scenario a right- angled triangle is being formed with:-

• base = 10 m
• height (or perpendicular) = 24 m

Hence using Pythagoras theorem we can find the measure of hypotenuse.

According to Pythagoras theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

(BC)² = (AB)² + (AC)²

=> BC = √(10)² + (24)²

=> BC = √100 + 576

=> BC = √676

=> BC = 26 m

Therefore the measure of BC (or hypotenuse) is 26 m.

Therefore, The length of the rope is 26 m.