Question

Two buildings are 18.5 meters apart. The angles of elevation from the top of one building to the top of the other is 18 degrees. If the taller building is 15 meters tall, how tall is the shorter building?

Answer 1

=
110.4
ft
Step-by-step explanation:
Let the difference in heights of the buildings be
x
ft
The buildings are
200
ft apart - all the way up from the ground to the top of the buildings.
Draw in a triangle joining the tops of the buildings and show the angle of depression as
7
°
Le'ts find
x
:
x
200
=
tan
7
x
=
200
×
tan
7
x
=
24.557
ft
This is the difference in the heights of the buildings.
Height of shorter building =
135
−
24.6
ft
=
110.4
ft