Answer:
The height of the building is [tex]73.2\ ft[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
[tex]tan(38\°)=\frac{BC}{AB}[/tex]
we have
[tex]AB=63\ ft[/tex]
substitute and solve for BC
[tex]tan(38\°)=\frac{BC}{63}[/tex]
[tex]BC=(63)tan(38\°)=49.2\ ft[/tex]
Find the height of the building
The height of the building (h) is equal to
[tex]h=BC+24=49.2+24=73.2\ ft[/tex]
