Question

Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF​

Answer 1

AC ≈ 10.1 m

Explanation:

Using the cosine ratio in the right triangle

cos20° =
`(adjacent)/(hypotenuse)` =
`(BC)/(AC)` =
`(9.5)/(AC)` ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC =
`(9.5)/(cos20)` ≈ 10.1 m ( to 3 sf )