Question

In the adjoining figure, AB and CD are two vertical poles of height 19
m and 11m respectively. If the shortest distance between their tops is
17m, find how far apart are they ?


The heights of two towers are 150 m and 136 m respectively. If the
distance between them is 48 m, find the distance between their tops.

Answer 1

Answer:

Pole AB=19m, Pole CD=11m

Distance between their tops AC=17cm

Draw EC || BD, then

Let BD=CE=x

EB=CD=11m

AE=AB−EB=19−11=8m

Now in right ΔAEC,

AC

2

=AE

2

+EC

2

⇒(17)

2

=(8)

2

+x

2

⇒289=64+x

2

⇒x

2

=289−64=225=(15)

2

⇒x=15

BD=EC=x=15m