Two poles of heights 6m and 11m stand vertically on a plane ground. If the distance between their feet is 12m, find the distance between their tops. (a) 12m (b) 13m (c) 14m (d) 15m
Two poles of heights 6m and 11m stand vertically on a plane ground. If the distance between their feet is 12m, find the distance between their tops. (a) 12m (b) 13m (c) 14m (d) 15m

Correct Answer: (b)13 m

Explanation:

 

 

 

 

Let the poles be and CD

AB = 6 m

CD = 11 m

Let AC be 12 m

Draw a perpendicular from CD, meeting CD at E.

BE = 12 m

Applying Pythagoras theorem in right-angled triangle BED,

????????2 = ????????2 + ????????2

=> 122 + 52

=> 144 + 25

=> 169

BD = 13 m