Respuesta :

Given:

In right triangle [tex]GHI,m\angle I=90^\circ,GH=7.5,HI=7.2,GI=2.1[/tex].

To find:

The ratio (fraction) for Tan H.

Solution:

In a right triangle,

[tex]Tan\theta=\dfrac{Perpendicular}{Base}[/tex]

In [tex]\Delta GHI[/tex].

[tex]Tan H=\dfrac{GI}{HI}[/tex]

[tex]Tan H=\dfrac{2.1}{7.2}[/tex]

It can be written as

[tex]Tan H=\dfrac{21}{72}[/tex]

[tex]Tan H=\dfrac{7}{24}[/tex]

Therefore, the fraction for Tan H is [tex]\dfrac{2.1}{7.2}[/tex] or it can be written as [tex]\dfrac{7}{24}[/tex].