Question

Two poles of heights 6m and 11m stand on a plane ground.If the distance between their feet is 12m find the distance between their tops

Answer 1

Answer:

Let's draw the diagram of the two poles AB and CD as shown:

Let, BD be the distance between the top of the two poles.

Assume, BD = x meters

As △BED is a right-angled triangle, right angled at E, therefore 'x' is the hypotenuse.

Now apply the Pythagoras theorem on △BED ,

Hypotenuse2 = Perpendicular2 + Base2

⇒ BD2 = ED2 + BE2

⇒ x2 = 122 + 52

⇒ x2 = 144 + 25

⇒ x2 = 169

⇒ x = 13 m

Step-by-step explanation: