Answer:
[tex] x = 19.4 [/tex]
Step-by-step explanation:
For the 72-deg angle, 6 is the adjacent leg. x is the hypotenuse. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
[tex] \cos A = \dfrac{adj}{hyp} [/tex]
[tex] \cos 72^\circ = \dfrac{6}{x} [/tex]
[tex] x \cos 72^\circ = 6 [/tex]
[tex] x = \dfrac{6}{\cos 72^\circ} [/tex]
[tex] x = 19.4 [/tex]
