Question

thematics for Class 7
5.
С
A
55 m
166 m
60 m
Ground
B
D
AB and CD are vertical poles fixed to the
ground. Find the length of the wire AC.​

Answer 1

Answer:

We have,

AB=55m

BD=60m

DC=66m

AC=?

AD=24cm.

Construction:- Meet A to any point E line CD.

Then,

AE=60m

DE=AB=55m

Now,

CE=CD−DE

CE=66−55

CE=11m

So,

InΔACE

Using Pythagoras theorem,

AC

2

=AE

2

+EC

2

AC

2

=60

2

+11

2

AC

2

=3600+121

AC

2

=3721

AC=61m.

Hence, this is the answer.