Question

PLEASE ANSWER!!! NEED HELP WITH EXPLANATION!!!

Answer 1

27.37 and 9.18

Explanation:

(4)

Using the cosine ratio in the right triangle

cos64° =
`(adjacent)/(hypotenuse)` =
`(12)/(x)` ( multiply both sides by x )

x × cos64° = 12 ( divide both sides by cos64° )

x =
`(12)/(cos64)` ≈ 27.37 ( to the nearest hundredth )

(5)

Using the sine ratio in the right triangle

sin35° =
`(opposite)/(hypotenuse)` =
`(x)/(16)` ( multiply both sides by 16 )

16 × sin35° = x , then

x ≈ 9.18 ( to the nearest hundredth )