Question

Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, the distance between their tops is
(a) 13 m
(b) 14 m
(c) 15 m
(d) 12.8 m

Answer 1

Suppose AB and CD are two poles.The is distance between AB and CD is 12 m.


In right traingle BDE,
BD² = DE² + BE²
⇒ BD² = (5)² + (12)²
⇒ BD² = 25 + 144
⇒ BD² = 169
⇒ BD² = (13)²(52√)2
⇒ BD = 13 m
Hence, the correct answer is option (a).