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.

A

12m

B

13m

C

16m

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=AB–EB but EB=DC Therefore  AE=34m−29m=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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