Question

How do I find the inclination of θ (in radians and degrees) of the line with slope m? (Round your answer to 3 decimal places.) m = -3.

I can find the inclination of θ in radians, but not degrees. If someone could explain how to do that, that would be great!

Answer 1

`theta=1.893` radians or `108.46^@`

Explanation:

`m=tantheta` and as `m=-3`

we have `tantheta=-3` and

`theta=tan^(-1)(-3)=pi-1.249=1.893`

As `pi` radians is `180^@`, one radian is `(180/pi)^@`

hence `1.893` radians is `(1.893xx180/pi)^@`

= `108.46^@`