Question

Solve for X and Explain

Answer 1

tan(57°) = 12/x

x tan(57°) = 12

x = 12/tan(57°) = 7.793

Answer 2

x ≈ 7.8

Explanation:

using the tangent ratio in the right triangle

tan57° =
`(opposite)/(adjacent)` =
`(12)/(x)` ( multiply both sides by x )

x × tan57° = 12 ( divide both sides by tan57° )

x =
`(12)/(tan57)` ≈ 7.8 ( to the nearest tenth )