Mathematics: Solve for x round to the nearest tenth. show steps!

Solve for x round to the nearest tenth. show steps!

Ответ:

paulusl19

17.01.2022

Mathematics

$\large\boxed{x\approx56.44}$

$\large\text{It's close to 55.0}$

Step-by-step explanation:

$\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44$