a) cos 63 = x/12
b) the missing side is 5.45
Step-by-step explanation:
a) opposite = side opposite the angle given
given angle = 63 degrees
adjacent = base = x
hypotenuse = longest side = 12
Using trigomnometry SOHCAHTOA
To get x, we apply cosine ratio (CAH). This is because we have been given the hypotenuse and we are looking for adjacent
cosine ratio = adjacent/hypotenuse
cos 63 = adjacent/hypotenuse
cos 63 = x/12
b) cos 63 = x/12
12(cos 63) = x
x = 12 (0.45399)
x = 5.44788
To the nearest hundredth, the missing side is 5.45