Question

1. Two poles 8 m and 13 m high are standing 12 m apart. Find the distance between their tops. ​

Answer 1

Answer:

answer is 13

by using trigonometry...

Answer 2

To find : the distance between tops of two poles .

Given : height of pole $AB = 8 m$

           height of pole $CD = 13\ m$  

           distance between poles $= 12 \ m$

Solution :

• From the given data we conclude that :

       height of pole $CD =$ height of pole $AB + 5 \ m$  ​

                                      $= ( 8 + 5 )\ m$

• Therefore ,triangle is formed at the top of two poles with base as $12 \ m$ and adjacent side as $5 \ m$ making right angle .
• Applying pythagoras theorem to the triangle we can find the distance between their tops.

                $=\sqrt{(5)^{2}+(12)^{2}}$

              $=\sqrt{25}+144=\sqrt{169}=13$  

Hence, distance between the top of two poles is $13 \ m$.