Question

Solve for X. Round to nearest tenth.

Answer 1

x ≈ 11.3

Explanation:

using the cosine ratio in the right triangle

cos61° =
`(DE)/(DF)` =
`(5.5)/(x)` ( multiply both sides by x )

x × cos61° = 5.5 ( divide both sides by cos61° )

x =
`(5.5)/(cos61)` ≈ 11.3 ( to the nearest tenth )

Answer 2

x = 11.3

Explanation:

`cos(61^(o) )=(5.5)/(x)`

`x=(5.5)/(cos(61^(o)) ) =11.34`

Rounded to the nearest tenth:

x = 11.3

Hope this helps