Question

Find the acute angle formed by line 2y=x+1​

Answer 1

26.57°

Explanation:

`2y = x + 1 \\ y = (1)/(2) x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = (1)/(2) \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = (1)/(2) = 0.5 \\ \therefore \: \theta = {tan}^( - 1) (0.5) \\\therefore \: \theta = {tan}^( - 1) ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}`