A
-foot extension ladder learing against buliding makes
angle with the ground.

Observe the figure :
and
.
Consider, Height of building is
.
For a right angle triangle :
\Let
and
.
Consider the trigonometric functions:
and
.
Substitute
,
and
.



Therefore,
.
Height of building wher ladder touches building is
.
Height of building wher ladder touches building is
.