solve for (x). round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n(x=)
solve for (x). round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n(x=)
Answer
Explanation:
Step1: Identify trigonometric ratio
In right - triangle LMN with right - angle at M, we know the opposite side to angle (x) is (5.5) and the adjacent side is (4.2). We use the tangent function (\tan(x)=\frac{\text{opposite}}{\text{adjacent}}). So, (\tan(x)=\frac{5.5}{4.2}).
Step2: Solve for (x)
We take the inverse tangent of both sides: (x = \tan^{- 1}(\frac{5.5}{4.2})). Using a calculator, (x=\tan^{-1}(1.3095238)).
Step3: Round the result
(x\approx52.7^{\circ}) (rounded to the nearest tenth of a degree).
Answer:
(52.7)