Question

Two poles 15m high and 6m high are placed opposite to each other across a 8m long
road. Find the distance between their tops.​

Answer 1

Solution :

Let the poles be Pole A and pole B respectively .

Height of pole A = 15 m

Height of pole B = 6 m.

We can easily observe that , height of pole A is greater than the height of pole B .

This is by an extent of 9 m .

Now , the distance between the base of the poles is 8 m .

We need to find the distance between the tops .

Applying Pythagoras theorem here ;

Distance between the tops of the towers = √[ { Distance between bases }² + { difference in height }² ]

=> √ ( 81 + 64 )

=> √ 145 m .

This is the required answer.

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