Find the value of h rounded to the nearest tenth

For angle G, FH is the opposite leg.
h is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

[tex] \sin \theta = \dfrac{opp}{hyp} [/tex]

[tex] \sin 48^\circ = \dfrac{5}{h} [/tex]

[tex] h = \dfrac{5}{\sin 48^\circ} [/tex]

[tex] h = 6.7 [/tex]