two poles,18 m and 13 m high,stands upright in a playground. their feet are 12 m apart, find the distance between their tops??

two poles,18 m and 13 m high,stands upright in a playground. their fee

1.	two poles,18 m and 13 m high,stands upright in a playground. their feet are 12 m apart, find the distance between their tops??
Answer» ct Question:- Two poles, 13 m and 18 m high stand UPRIGHT on a playground. If their feet are 12 m apart, find the distance between the tops.━━━━━━━━━━━━━━━━━━━━★ Given:-Height of two poles = 13 m, 18 mTheir feet = 12 m★ To Find:-The distance between their tops.★ SOLUTION:- Let AB and CD be two poles of the height 13 m and 12 m and the distance between their feet, BD = 12 m. A \|\| BD.Then, CE = DC - DB = (DC - DE) = (18 - 13) m = 5 mIn right ANGLED ∆AEC, AE = 12 m, CE = 5 mBy Pythagoras theorem, AC² = AE² + CE²⇒ AC² = (12² + 5²) ⇒ AC² = (144 + 25)⇒ AC² = 169⇒ AC² = (13)²⇒ AC = 13Hence, the distance between the tops of the poles = 13 m