Two poles of heights 10 m and 17 m are fixed to a level ground. The distance between the bottom of the poles is 24 m. What is the distance (in m) between their tops?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 25
Formula used:
Pythagoras theorem, (Hypotenuse)2 = (Base)2 + (Perpendicular)2 ----- (1)
Calculations:
Distance between the two poles is 24 m
Height of pole 1 = 10 m (AD)
Height of pole 2 = 17 m (BE)
Where, DE is the distance between their tops
According to the question, In Triangle DCE use equation (1)
⇒ DE2 = DC2 + EC2
⇒ DE2 = 242 + 72
⇒ DE2 = 576 + 49 = 625
⇒ DE = 25