Question

2 poles of height 14m and 5 m stands on the ground.If the distance between their feet is 12 m,find the distance between their tops​

Answer 1

Answer:

13 meter

Step-by-step explanation:

Let the two poles be DE and AB and the distance between their bases be BE.  

We have:  

DE = 9 m, AB = 14 m and BE = 12 m  

Draw a line parallel to BE from D, meeting AB at C.  

Then, DC = 12 m and AC = 5 m.

We need to find AD, the distance between their tops.

Now, by applying Pythagoras theorem, we get,

   AD^2 = AC^2+CD^2

⇒ AD^2 = 5^2+12^2

⇒ AD^2 = 25+144

⇒ AD^2 = 169

∴  AD = √169

⇒ AD = 13