Question

What angle is a $1$ in $10$ slope?

Answer 1

In geometry, $1$ in $10$ means for every ten units of horizontal distance crosses there is $1$ unit of vertical drop or rise. The angle of $\tan$ is used to measure this value of slope. Let $x$ be the angle to be used for $\tan$.

$\tan x=\frac{(horizontaldis\tan ce)}{(verticaldis\tan ce)}$

$\tan x=\frac{1}{10}=0.1$

$x={\tan }^{-1}(0.1)$

$x=5.71°$

By rounding to the nearest digit, the degree value will be $6$.

Hence, $6$ degrees is the angle of $1$ in $10$ slope.