two poles of height 2m and 6 m are standing on the ground .If the distance between their feet is 3 m , find the distance between their tops.

Asked by Divya Kumari | 2nd Oct, 2014, 08:20: PM

Expert Answer:

Let space space straight x space straight m space be space AC. AD space equals space straight x plus 3 space straight m BC space equals space 2 space straight m DE space equals space 6 space straight m Using space Basic space Proportionality space theorem comma AC over AD equals BC over DE rightwards double arrow fraction numerator straight x over denominator straight x plus 3 end fraction equals 2 over 6 rightwards double arrow fraction numerator straight x over denominator straight x plus 3 end fraction equals 1 third rightwards double arrow 3 straight x equals straight x plus 3 rightwards double arrow 2 straight x equals 3 rightwards double arrow straight x equals 3 over 2 equals 1.5 space straight m AE equals square root of AD squared plus DE squared end root equals square root of 4.5 squared plus 6 squared end root equals 7.5 space straight m BC over DE equals AB over AE rightwards double arrow 2 over 6 equals fraction numerator AB over denominator 7.5 end fraction rightwards double arrow AB equals 2.5 space straight m BE equals AE minus AB equals 7.5 minus 2.5 equals 5 space straight m Distance space between space their space tops space is space 5 space straight m

Answered by Prasenjit Paul | 2nd Oct, 2014, 11:33: PM