Question

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

Answer 1

`x = 19.4`

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 = (adj)/(hyp)`

`\cos 72^\circ = (6)/(x)`

`x \cos 72^\circ = 6`

`x = (6)/(\cos 72^\circ)`

`x = 19.4`