Question

Solve for x. Round to the nearest tenth, if necessary. PLEASE HELP!

Answer 1

x ≈ 5.4

Explanation:

Using the tangent ratio in the right triangle

tan60° =
`(opposite)/(adjacent)` =
`(MN)/(LM)` =
`(9.3)/(x)` ( multiply both sides by x )

x × tan60° = 9.3 ( divide both sides by tan60° )

x =
`(9.3)/(tan60)` ≈ 5.4 ( to the nearest tenth )

Answer 2

15.6

Explanation:

SOH -CHA-TOA

Tan = opp / adj

Tan(60) = 27/x

x = 27/tan(60)