Question

Using trigonometry, solve for x

Answer 1

x ≈ 11.3

Explanation:

using the cosine ratio in the right triangle

cos61° =
`(adjacent)/(hypotenuse)` =
`(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 )