Question

Find the length of the missing side using a trig ratio. Round your answer to the nearest hundredth.x63012PART A: Show me your trig ratio/work you set up to solve for the missing side. (example: Vig( ) =:)Your work:PART B: Solve your trig work to determine the missing side. Remember to round to the nearest hundredth.

Answer 1

a) cos 63 = x/12

b) the missing side is 5.45

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