Question

2 poles of 8 m and 14 m stand uprighton a plane ground . if the distance between two tops is 10 m . find the distance between their feet

Answer 1

Answer:

Given,

Heights of two poles = 8m and 14m

Distance between their top = 10m

To find, The distance between their feet.

Solution,

If we imagine a vertical straight line which starts from the top of the first pole and perpendicularly ends on a certain point on the second pole, then the second pole is divided into two segments.

The Length of the upper segment of the second pole from that imaginary point will be

= (14-8) = 6m

Now, we can easily imagine a right angled triangle in this case, which has,

Base = Distance between two poles = Let, x m

Height = Upper segment of the second pole = 6m

Hypotenuse = 10m

According to the Pythagoras theorem,

(10)²=(x)²+(6)²

100 = x²+36

x² = 100-36

x² = 64

x = 8

Hence, the distance b/w their feet is 8m.

Thnx