Question

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answer 1

x ≈ 52.6°

Explanation:

using the tangent ratio in the right triangle

tan x =
`(opposite)/(adjacent)` =
`(LM)/(MN)` =
`(5.5)/(4.2)` , then

X =
`tan^(-1)` (
`(5.5)/(4.2)` ) ≈ 52.6° ( to the nearest tenth )