Question

A pole 13 m high stands 12m away from a building which is 18m high. Find distance between top of the pole and top of the building?

Answer 1

Answer :- 

13 Meters is the distance between top of the pole and top of the building. 

Explaination :- 

Given :- 

• Height of the pole : 13 m 
• Distance of the pole from the building : 12 m 
• Building's height : 18 m 

To find :- 

• The distance between top of the pole and top of the building. 

Solution :- 

• The solution could be found through Pythagorus Theorem. 

• Refer the attachment 

• The attachment has the distance between top of the pole and top of the building as ? 

• The height will be 5m because 

=> Building height - Pole height 

=> 18 - 13 

=> 5m 

• The base is 12m because it's the distance. 

• The distance between top of the pole and top of the building = 

Base = 12m 
Height = 5m 
Hypotenuse = x

=>(Hypotenuse )² = ( Base ) ²+( Height )²

$= > {x}^{2} = {12}^{2} + {5}^{2}$

$= > {x }^{2} = 144 + 25$

$= > {x}^{2} = 169$

$= > x = \sqrt{169}$

$= > x = 13$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{HYPOTENUSE = 13cm}}}}}}}$

$\therefore$ The distance between top of the pole and top of the building is 13 m