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Question

The heights of two buildings are 34m and 29m respectively. If the distance between the two building is 12m, find the distance between the top of the buidings.



Your Answer
A

12m

Correct Answer
B

 13m

Your Answer
C

 16m

Your Answer
D

 14m


Solution

The correct option is B

 13m


The vertical buildings AB and CD are 34m and 29m respectively.

Draw DE AB.


Then AE=ABEB but EB=DC

Therefore  AE=34m29m=5m

Now, AED is a right angled triangle and right angled at E.

Therefore,

AD2=AE2+ED2

 AD2=52+122  

 AD2=25+144

AD2=169

AD=169

AD=13

Therefore the distance between the top of the buidings. is  13m

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