Question

Solve for x. Round to the nearest tenth, if necessary.​

Answer 1

x = 160

Explanation:

Using the cosine ratio in the right triangle

cos60° =
`(adjacent)/(hypotenuse)` =
`(CD)/(CE)` =
`(80)/(x)` ( multiply both sides by x )

x × cos60° = 80 ( divide both sides by cos60° )

x =
`(80)/(cos60)` = 160

Answer 2

Explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=80/x(do cross multiplication)

80*2=x

160=x