Two poles of heights 10 m and 17 m are fixed to a level ground. The distance between the bottom of the pole is 24 m. What is the distance (in m) between their tops ?
Answer & explanation
Correct answer: option 1
⇒ AB - CD = 17 - 10 = 7 m
Using pythagoras theorem,
⇒ \( {AC }^{2 } \) = \( {DB }^{2 } \) + \( {( AB - CD)}^{2 } \)
⇒ \( {AC }^{2 } \) = \( {24 }^{2 } \) + \( {( AB - CD)}^{2 } \)
⇒ \( {AC }^{2 } \) = 576 + 49
⇒ \( {AC }^{2 } \) = 625
⇒ AC = 25m.
Therefore,the distance between pole tops is 25m.