Question

Find the missing angle or side. Round to the nearest tenth.

Answer 1

Answer:

$x = 19.4$

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.

$\cos A = \dfrac{adj}{hyp}$

$\cos 72^\circ = \dfrac{6}{x}$

$x \cos 72^\circ = 6$

$x = \dfrac{6}{\cos 72^\circ}$

$x = 19.4$