Given:
In triangle [tex]BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ[/tex].
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle BGU,
[tex]\tan B=\dfrac{GU}{BU}[/tex]
[tex]\tan 44^\circ=\dfrac{7}{y}[/tex]
[tex]0.966=\dfrac{7}{y}[/tex]
Isolating y, we get
[tex]y=\dfrac{7}{0.966}[/tex]
[tex]y=7.2463[/tex]
[tex]y\approx 7.2[/tex]
Therefore, the correct option is A.
