The given slope is `m=1/2` .
Take note that if the slope of the line is given, to get the angle of inclination, apply the formula:
`tan theta =m`
Plugging in the given value of m, the formula becomes:
`tan theta = 1/2`
To isolate theta, take the inverse of tangent.
`theta = tan ^(-1) (1/2)`
`theta =0.4636476090 rad=26.56505117^o`
Rounding off to four decimal places, the values become:
`theta = 0.4636 rad = 26.5651^o`
Therefore,...
The given slope is `m=1/2` .
Take note that if the slope of the line is given, to get the angle of inclination, apply the formula:
`tan theta =m`
Plugging in the given value of m, the formula becomes:
`tan theta = 1/2`
To isolate theta, take the inverse of tangent.
`theta = tan ^(-1) (1/2)`
`theta =0.4636476090 rad=26.56505117^o`
Rounding off to four decimal places, the values become:
`theta = 0.4636 rad = 26.5651^o`
Therefore, the angle of inclination in radian is 0.4636 rad. And in degree, the angle of inclination is `26.5651^o .`
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